31952 has 10 divisors (see below), whose sum is σ = 61938. Its totient is φ = 15968.

The previous prime is 31907. The next prime is 31957. The reversal of 31952 is 25913.

It can be written as a sum of positive squares in only one way, i.e., 18496 + 13456 = 136^2 + 116^2 .

It is a nialpdrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31957) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 983 + ... + 1014.

2³¹⁹⁵² is an apocalyptic number.

It is an amenable number.

31952 is a deficient number, since it is larger than the sum of its proper divisors (29986).

31952 is a wasteful number, since it uses less digits than its factorization.

31952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2005 (or 1999 counting only the distinct ones).

The product of its digits is 270, while the sum is 20.

The square root of 31952 is about 178.7512237720. The cubic root of 31952 is about 31.7321390852.

The spelling of 31952 in words is "thirty-one thousand, nine hundred fifty-two".