No.
How about: 32*32 = 1024
No, because 32 is not a perfect square.
16 2*16 = 32
No, 32 is a perfect square of nine and it is 4th Motzkin number.
Yes. The only known almost perfect numbers are the powers of 2. 32 = 2^5 is an almost perfect number. It has not yet been proved whether {x: x = 2^n for n in N} = {x: x is an almost perfect number}.
16 or 32
The proper divisors of 32 are 1, 2, 4, 8, and 16. They add up to 31, so 32 is deficient.
1,085 - 61 = 1,024 = (32)2
16
If you mean is it a perfect square, then no; it is an irrational number (square root of 32 is 5.6568544249). But if you mean can it be squared, then yes; 32 squared is 1024
11 + 12 + 9 = 32