331164 has 18 divisors (see below), whose sum is σ = 837200. Its totient is φ = 110376.

The previous prime is 331159. The next prime is 331171. The reversal of 331164 is 461133.

331164 is nontrivially palindromic in base 14.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

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 331164.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4564 + ... + 4635.

2³³¹¹⁶⁴ is an apocalyptic number.

It is an amenable number.

331164 is an abundant number, since it is smaller than the sum of its proper divisors (506036).

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

331164 is a wasteful number, since it uses less digits than its factorization.

331164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9209 (or 9204 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 331164 is about 575.4685047854. The cubic root of 331164 is about 69.1853867814.

Adding to 331164 its reverse (461133), we get a palindrome (792297).

It can be divided in two parts, 3311 and 64, that added together give a cube (3375 = 15³).

The spelling of 331164 in words is "three hundred thirty-one thousand, one hundred sixty-four".