Cyclic Permutations: εijk, Even or Odd?

[Karol]

ε_ijk is the permutation symbol and cyclic permutations, for example 123→231→312, are always even, thus ε₁₂₃=ε₂₃₁=ε₃₁₂=+1, but:
ε₁₃₂=ε₂₁₃=ε₃₂₁=-1
I understand the first 2, but ε₃₂₁ is even, no? and also all this series is cyclic, it's not all even and...

 

[micromass]

Why would $\varepsilon_{321}$ be even?

 

[Karol]

Why would $\varepsilon_{321}$ be even?

Oh sorry, right, but my original question is why is it written in a textbook that every cyclic permutation is even while the cyclic permutations ε132=ε213=ε321 are odd?