31632 has 20 divisors (see below), whose sum is σ = 81840. Its totient is φ = 10528.

The previous prime is 31627. The next prime is 31643. The reversal of 31632 is 23613.

31632 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 282 + ... + 377.

It is an arithmetic number, because the mean of its divisors is an integer number (4092).

2³¹⁶³² is an apocalyptic number.

It is an amenable number.

31632 is an abundant number, since it is smaller than the sum of its proper divisors (50208).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40920).

31632 is a wasteful number, since it uses less digits than its factorization.

31632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 664 counting only the distinct ones).

The product of its digits is 108, while the sum is 15.

The square root of 31632 is about 177.8538726033. The cubic root of 31632 is about 31.6258507689.

The spelling of 31632 in words is "thirty-one thousand, six hundred thirty-two".