331657352 has 64 divisors (see below), whose sum is σ = 716007600. Its totient is φ = 142663680.

The previous prime is 331657279. The next prime is 331657357. The reversal of 331657352 is 253756133.

It is a happy number.

331657352 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 223622116 + 108035236 = 14954^2 + 10394^2 .

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (331657357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 191852 + ... + 193572.

Almost surely, 2^331657352 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 331657352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358003800).

331657352 is an abundant number, since it is smaller than the sum of its proper divisors (384350248).

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

331657352 is a wasteful number, since it uses less digits than its factorization.

331657352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1866 (or 1862 counting only the distinct ones).

The product of its digits is 56700, while the sum is 35.

The square root of 331657352 is about 18211.4621049492. The cubic root of 331657352 is about 692.1972607473.

The spelling of 331657352 in words is "three hundred thirty-one million, six hundred fifty-seven thousand, three hundred fifty-two".