• 32 can be written using four 4's:

32 has 6 divisors (see below), whose sum is σ = 63. Its totient is φ = 16.

The previous prime is 31. The next prime is 37. The reversal of 32 is 23.

Added to its reverse (23) it gives a triangular number (55 = T_{10}).

It is a happy number.

It is a perfect power (a 5-th power), and thus also a powerful number.

It is a Jordan-Polya number, since it can be written as (2!)^{5}.

32 is nontrivially palindromic in base 7 and base 15.

32 is an esthetic number in base 3 and base 10, because in such bases its adjacent digits differ by 1.

It can be written as a sum of positive squares in only one way, i.e., 16 + 16 = 4^2 + 4^2 .

It is an ABA number since it can be written as A⋅B^{A}, here for A=2, B=4.

It is a Leyland number of the form 4^{2} + 2^{4}.

It is a magnanimous number.

It is an alternating number because its digits alternate between odd and even.

It is a house number.

It is a Duffinian number.

Its product of digits (6) is a multiple of the sum of its prime divisors (2).

32 is a nontrivial repdigit in base 7 and base 15.

It is a plaindrome in base 5, base 7, base 9, base 11, base 12, base 13, base 14 and base 15.

It is a nialpdrome in base 2, base 4, base 6, base 7, base 8, base 10, base 15 and base 16.

It is a zygodrome in base 7 and base 15.

A polygon with 32 sides can be constructed with ruler and compass.

It is an impolite number, since it cannot be written as a nontrivial sum of consecutive naturals.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32

32 is a deficient number, since it is larger than the sum of its proper divisors (31).

32 is an equidigital number, since it uses as much as digits as its factorization.

32 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10 (or 2 counting only the distinct ones).

The product of its digits is 6, while the sum is 5.

The square root of 32 is about 5.6568542495. The cubic root of 32 is about 3.1748021039.

Adding to 32 its reverse (23), we get a palindrome (55).

The spelling of 32 in words is "thirty-two", and thus it is an aban number, an eban number, and an uban number.

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