331872 has 24 divisors (see below), whose sum is σ = 871416. Its totient is φ = 110592.

The previous prime is 331871. The next prime is 331883. The reversal of 331872 is 278133.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×331872² = 220278048768, which contains 22 as substring.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1633 + ... + 1824.

It is an arithmetic number, because the mean of its divisors is an integer number (36309).

2³³¹⁸⁷² is an apocalyptic number.

331872 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

331872 is an abundant number, since it is smaller than the sum of its proper divisors (539544).

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

331872 is a wasteful number, since it uses less digits than its factorization.

331872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3470 (or 3462 counting only the distinct ones).

The product of its digits is 1008, while the sum is 24.

The square root of 331872 is about 576.0833273060. The cubic root of 331872 is about 69.2346558122.

It can be divided in two parts, 33 and 1872, that multiplied together give a triangular number (61776 = T₃₅₁).

The spelling of 331872 in words is "three hundred thirty-one thousand, eight hundred seventy-two".