My number is a perfect square. the only prime factorization is 2.my number is a factor of 32.the sum of its difits is is my number?

List out all of the factors to 32.
1, 2, 4, 8, 16, 32

From the list, we either have 4 or 16 as our number.
Prime factorisation for 4 is 2 x 2 and prime factorisation for 16 is 2 x 2 x 2 x 2
Thus, that doesn't help our case.

Looking at our requirement: the sum of its digits is odd.
Well, 4 can be rewritten as 0 4 and its sum is even.
The sum for 1 + 6 is obviously odd, which means that 16 is the number.