331729125 has 64 divisors (see below), whose sum is σ = 679451136. Its totient is φ = 139968000.

The previous prime is 331729121. The next prime is 331729169. The reversal of 331729125 is 521927133.

It is not a de Polignac number, because 331729125 - 2² = 331729121 is a prime.

It is a super-2 number, since 2×331729125² = 220088424746531250, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331729121) 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, 29265 + ... + 38985.

It is an arithmetic number, because the mean of its divisors is an integer number (10616424).

Almost surely, 2^331729125 is an apocalyptic number.

331729125 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

331729125 is an abundant number, since it is smaller than the sum of its proper divisors (347722011).

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

331729125 is a wasteful number, since it uses less digits than its factorization.

331729125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9759 (or 9749 counting only the distinct ones).

The product of its digits is 11340, while the sum is 33.

The square root of 331729125 is about 18213.4325430436. The cubic root of 331729125 is about 692.2471892757.

The spelling of 331729125 in words is "three hundred thirty-one million, seven hundred twenty-nine thousand, one hundred twenty-five".