331904 has 16 divisors (see below), whose sum is σ = 661470. Its totient is φ = 165888.

The previous prime is 331897. The next prime is 331907. The reversal of 331904 is 409133.

It can be written as a sum of positive squares in only one way, i.e., 270400 + 61504 = 520^2 + 248^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a super-2 number, since 2×331904² = 220320530432, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (331907) by changing a digit.

331904 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, 1169 + ... + 1424.

2³³¹⁹⁰⁴ is an apocalyptic number.

It is an amenable number.

331904 is a deficient number, since it is larger than the sum of its proper divisors (329566).

331904 is an equidigital number, since it uses as much as digits as its factorization.

331904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2607 (or 2595 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

The square root of 331904 is about 576.1111003964. Note that the first 4 decimals coincide. The cubic root of 331904 is about 69.2368810052.

The spelling of 331904 in words is "three hundred thirty-one thousand, nine hundred four".