331165120 has 112 divisors (see below), whose sum is σ = 926579808. Its totient is φ = 111144960.

The previous prime is 331165097. The next prime is 331165139. The reversal of 331165120 is 21561133.

It is a happy number.

331165120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×331165120² = 219340673409228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 331165091 and 331165100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42142 + ... + 49378.

It is an arithmetic number, because the mean of its divisors is an integer number (8273034).

Almost surely, 2^331165120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331165120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463289904).

331165120 is an abundant number, since it is smaller than the sum of its proper divisors (595414688).

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

331165120 is a wasteful number, since it uses less digits than its factorization.

331165120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7278 (or 7268 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 331165120 is about 18197.9427408705. The cubic root of 331165120 is about 691.8546477656.

The spelling of 331165120 in words is "three hundred thirty-one million, one hundred sixty-five thousand, one hundred twenty".