Is zero an odd number

No. Zero is not an odd number. Zero is an even number.

A number a is even if there exists an integer b that makes the following equation true:

a = 2 x b

0 is an integer, so let b = 0 and you get

0 = 2 x 0

So 0 is even.

Please see the article "Parity of Zero" in the Related Links sections for more information.