331168 has 24 divisors (see below), whose sum is σ = 665280. Its totient is φ = 162240.

The previous prime is 331159. The next prime is 331171. The reversal of 331168 is 861133.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2463 + ... + 2593.

It is an arithmetic number, because the mean of its divisors is an integer number (27720).

2³³¹¹⁶⁸ is an apocalyptic number.

It is an amenable number.

331168 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

331168 is a wasteful number, since it uses less digits than its factorization.

331168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 212 counting only the distinct ones).

The product of its digits is 432, while the sum is 22.

The square root of 331168 is about 575.4719802041. The cubic root of 331168 is about 69.1856653347.

It can be divided in two parts, 33116 and 8, that added together give a square (33124 = 182²).

The spelling of 331168 in words is "three hundred thirty-one thousand, one hundred sixty-eight".