31972 has 6 divisors (see below), whose sum is σ = 55958. Its totient is φ = 15984.

The previous prime is 31963. The next prime is 31973. The reversal of 31972 is 27913.

It can be written as a sum of positive squares in only one way, i.e., 20736 + 11236 = 144^2 + 106^2 .

It is not an unprimeable number, because it can be changed into a prime (31973) by changing a digit.

31972 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3993 + ... + 4000.

2³¹⁹⁷² is an apocalyptic number.

It is an amenable number.

31972 is a deficient number, since it is larger than the sum of its proper divisors (23986).

31972 is a wasteful number, since it uses less digits than its factorization.

31972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7997 (or 7995 counting only the distinct ones).

The product of its digits is 378, while the sum is 22.

The square root of 31972 is about 178.8071586934. The cubic root of 31972 is about 31.7387584978.

The spelling of 31972 in words is "thirty-one thousand, nine hundred seventy-two".