In Mathematics
32 is the smallest number n with exactly 7 solutions to the equation φ(x) = n. It is also the sum of the totient function for the first ten integers.
The fifth power of two, 32 is also a Leyland number since 24 + 42 = 32.
As with every power of two, 32 has an aliquot sum one less than itself: the prime 31. 32 is the first member of the 31-aliquot tree.
32 is the ninth happy number.
32 = 11 + 22 + 33
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