diff --git a/base/permuteddimsarray.jl b/base/permuteddimsarray.jl
index ea966c44efc38..185251781769a 100644
--- a/base/permuteddimsarray.jl
+++ b/base/permuteddimsarray.jl
@@ -188,7 +188,7 @@ julia> transpose(V)
  [1 3; 2 4]  [5 7; 6 8]
 ```
 """
-permutedims(v::AbstractVector) = reshape(v, (1, length(v)))
+permutedims(v::AbstractVector) = reshape(v, (1, axes(v,1)))
 
 """
     permutedims!(dest, src, perm)
diff --git a/base/reshapedarray.jl b/base/reshapedarray.jl
index 671dd2d86a840..9c081a2de41a4 100644
--- a/base/reshapedarray.jl
+++ b/base/reshapedarray.jl
@@ -107,8 +107,19 @@ julia> reshape(1:6, 2, 3)
 """
 reshape
 
-reshape(parent::AbstractArray, dims::IntOrInd...) = reshape(parent, dims)
+reshape(parent::AbstractArray, dims::Union{Integer, AbstractUnitRange{<:Integer}, Colon}...) = reshape(parent, dims)
 reshape(parent::AbstractArray, shp::Tuple{Union{Integer,OneTo}, Vararg{Union{Integer,OneTo}}}) = reshape(parent, to_shape(shp))
+reshape(parent::AbstractArray, shp::Tuple) = reshape(parent, map(_toshape, shp)::Tuple{Vararg{Union{Int,Colon}}})
+
+@inline function _toshape(r::AbstractUnitRange{<:Integer})
+    @noinline throw(r) = "range arguments to reshape must begin at 1, received $r"
+    first(r) == 1 || throw(r)
+    to_shape(OneTo(r))
+end
+_toshape(r::Integer) = to_shape(r)
+_toshape(x::Colon) = x
+_toshape(x) = throw(ArgumentError("reshape accepts Integers, AbstractUnitRanges or Colons as arguments, received $x"))
+
 reshape(parent::AbstractArray, dims::Dims)        = _reshape(parent, dims)
 
 # Allow missing dimensions with Colon():
diff --git a/test/abstractarray.jl b/test/abstractarray.jl
index 9af20b8047701..47c60aa5a5de6 100644
--- a/test/abstractarray.jl
+++ b/test/abstractarray.jl
@@ -1385,3 +1385,15 @@ end
     @test_throws ArgumentError keepat!(a, [2, 1])
     @test isempty(keepat!(a, []))
 end
+
+@testset "reshape with Integers" begin
+    @test reshape(1:2, 1, 1:2) == reshape(1:2, 1, 2)
+    @test reshape(1:2, 1, Int32(2)) == reshape(1:2, 1, 2)
+    @test reshape(1:2, 1, :, Base.OneTo(Int32(2))) == reshape(1:2, 1, 1, 2)
+    @test reshape(reshape(1:2, Int32(2), 1), 1, Int32(2)) == reshape(1:2, 1, 2)
+    @test reshape(reshape(1:2, Int32(2), 1), :, Int32(2)) == reshape(1:2, 1, 2)
+    @test reshape(reshape(1:2, Int32(2), 1), :, Int32(2), Base.OneTo(1)) == reshape(1:2, 1, 2, 1)
+    @test_throws Exception reshape(1:2, 1, "a")
+    @test_throws Exception reshape(1:2, (1, "a"))
+    @test_throws Exception reshape(1:2, (1, :, "a"))
+end
diff --git a/test/offsetarray.jl b/test/offsetarray.jl
index 811d3dd26f509..2401bf2eda282 100644
--- a/test/offsetarray.jl
+++ b/test/offsetarray.jl
@@ -795,3 +795,7 @@ end
     @test Iterators.partition(OffsetArray(reshape(collect(1:9),3,3), (3,3)), 5) |> collect == [1:5,6:9] #OffsetMatrix
     @test Iterators.partition(IdOffsetRange(2:7,10), 5) |> collect == [12:16,17:17] # IdOffsetRange
 end
+
+@testset "permutedims" begin
+    @test axes(permutedims(ones(2:3))) == (1:1, 2:3)
+end
diff --git a/test/testhelpers/OffsetArrays.jl b/test/testhelpers/OffsetArrays.jl
index 67de3ef476652..0b6beef6deab6 100644
--- a/test/testhelpers/OffsetArrays.jl
+++ b/test/testhelpers/OffsetArrays.jl
@@ -132,11 +132,11 @@ _indexoffset(r::AbstractRange) = first(r) - 1
 _indexoffset(i::Integer) = 0
 _indexoffset(i::Colon) = 0
 _indexlength(r::AbstractRange) = length(r)
-_indexlength(i::Integer) = i
+_indexlength(i::Integer) = Int(i)
 _indexlength(i::Colon) = Colon()
 
 _offset(axparent::AbstractUnitRange, ax::AbstractUnitRange) = first(ax) - first(axparent)
-_offset(axparent::AbstractUnitRange, ax::Integer) = 1 - first(axparent)
+_offset(axparent::AbstractUnitRange, ::Union{Integer, Colon}) = 1 - first(axparent)
 
 abstract type AxisConversionStyle end
 struct SingleRange <: AxisConversionStyle end