331090956 has 96 divisors (see below), whose sum is σ = 990420480. Its totient is φ = 93690432.

The previous prime is 331090951. The next prime is 331090961. The reversal of 331090956 is 659090133.

It is an interprime number because it is at equal distance from previous prime (331090951) and next prime (331090961).

It is a super-2 number, since 2×331090956² = 219242442289987872, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 331090956.

It is not an unprimeable number, because it can be changed into a prime (331090951) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78846 + ... + 82938.

It is an arithmetic number, because the mean of its divisors is an integer number (10316880).

Almost surely, 2^331090956 is an apocalyptic number.

331090956 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331090956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495210240).

331090956 is an abundant number, since it is smaller than the sum of its proper divisors (659329524).

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

331090956 is a wasteful number, since it uses less digits than its factorization.

331090956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4220 (or 4212 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 36.

The square root of 331090956 is about 18195.9049239108. The cubic root of 331090956 is about 691.8029972587.

The spelling of 331090956 in words is "three hundred thirty-one million, ninety thousand, nine hundred fifty-six".