331972 has 12 divisors (see below), whose sum is σ = 585900. Its totient is φ = 164576.

The previous prime is 331967. The next prime is 331973. The reversal of 331972 is 279133.

It can be written as a sum of positive squares in 2 ways, for example, as 33856 + 298116 = 184^2 + 546^2 .

It is a super-2 number, since 2×331972² = 220410817568, which contains 22 as substring.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (331973) by changing a digit.

331972 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 in 3 ways as a sum of consecutive naturals, for example, 318 + ... + 874.

It is an arithmetic number, because the mean of its divisors is an integer number (48825).

2³³¹⁹⁷² is an apocalyptic number.

It is an amenable number.

331972 is a deficient number, since it is larger than the sum of its proper divisors (253928).

331972 is a wasteful number, since it uses less digits than its factorization.

331972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 708 counting only the distinct ones).

The product of its digits is 1134, while the sum is 25.

The square root of 331972 is about 576.1701137685. The cubic root of 331972 is about 69.2416090656.

The spelling of 331972 in words is "three hundred thirty-one thousand, nine hundred seventy-two".