331138017 has 64 divisors (see below), whose sum is σ = 580177920. Its totient is φ = 182736000.

The previous prime is 331137997. The next prime is 331138033. The reversal of 331138017 is 710831133.

It is not a de Polignac number, because 331138017 - 2⁶ = 331137953 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (331138057) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1169958 + ... + 1170240.

It is an arithmetic number, because the mean of its divisors is an integer number (9065280).

Almost surely, 2^331138017 is an apocalyptic number.

It is an amenable number.

331138017 is a deficient number, since it is larger than the sum of its proper divisors (249039903).

331138017 is a wasteful number, since it uses less digits than its factorization.

331138017 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 331138017 is about 18197.1980535466. The cubic root of 331138017 is about 691.8357731449.

It can be divided in two parts, 3311 and 38017, that added together give a triangular number (41328 = T₂₈₇).

The spelling of 331138017 in words is "three hundred thirty-one million, one hundred thirty-eight thousand, seventeen".