331965 has 16 divisors (see below), whose sum is σ = 590400. Its totient is φ = 176976.

The previous prime is 331957. The next prime is 331967. The reversal of 331965 is 569133.

It is not a de Polignac number, because 331965 - 2³ = 331957 is a prime.

It is a super-2 number, since 2×331965² = 220401522450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 9.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 331965.

It is not an unprimeable number, because it can be changed into a prime (331967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1095 + ... + 1364.

It is an arithmetic number, because the mean of its divisors is an integer number (36900).

2³³¹⁹⁶⁵ is an apocalyptic number.

It is an amenable number.

331965 is a deficient number, since it is larger than the sum of its proper divisors (258435).

331965 is a wasteful number, since it uses less digits than its factorization.

331965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2473 (or 2467 counting only the distinct ones).

The product of its digits is 2430, while the sum is 27.

The square root of 331965 is about 576.1640391416. The cubic root of 331965 is about 69.2411223833.

It can be divided in two parts, 331 and 965, that added together give a 4-th power (1296 = 6⁴).

The spelling of 331965 in words is "three hundred thirty-one thousand, nine hundred sixty-five".