331688 has 16 divisors (see below), whose sum is σ = 710880. Its totient is φ = 142128.

The previous prime is 331663. The next prime is 331691. The reversal of 331688 is 886133.

It is a super-2 number, since 2×331688² = 220033858688, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 331688.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2906 + ... + 3017.

It is an arithmetic number, because the mean of its divisors is an integer number (44430).

2³³¹⁶⁸⁸ is an apocalyptic number.

It is an amenable number.

331688 is an abundant number, since it is smaller than the sum of its proper divisors (379192).

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

331688 is a wasteful number, since it uses less digits than its factorization.

331688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5936 (or 5932 counting only the distinct ones).

The product of its digits is 3456, while the sum is 29.

The square root of 331688 is about 575.9236060451. The cubic root of 331688 is about 69.2218581756.

The spelling of 331688 in words is "three hundred thirty-one thousand, six hundred eighty-eight".