82957331 has 8 divisors (see below), whose sum is σ = 87930000. Its totient is φ = 77995008.

The previous prime is 82957319. The next prime is 82957337. The reversal of 82957331 is 13375928.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 82957331 - 2¹⁸ = 82695187 is a prime.

It is a super-2 number, since 2×82957331² = 13763837533287122, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82957337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19280 + ... + 23186.

It is an arithmetic number, because the mean of its divisors is an integer number (10991250).

Almost surely, 2^82957331 is an apocalyptic number.

82957331 is a deficient number, since it is larger than the sum of its proper divisors (4972669).

82957331 is a wasteful number, since it uses less digits than its factorization.

82957331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5173.

The product of its digits is 45360, while the sum is 38.

The square root of 82957331 is about 9108.0915124959. The cubic root of 82957331 is about 436.1323052590.

The spelling of 82957331 in words is "eighty-two million, nine hundred fifty-seven thousand, three hundred thirty-one".