82957392 has 120 divisors (see below), whose sum is σ = 277065600. Its totient is φ = 23696064.

The previous prime is 82957373. The next prime is 82957403. The reversal of 82957392 is 29375928.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19209 + ... + 23127.

It is an arithmetic number, because the mean of its divisors is an integer number (2308880).

Almost surely, 2^82957392 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 82957392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138532800).

82957392 is an abundant number, since it is smaller than the sum of its proper divisors (194108208).

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

82957392 is a wasteful number, since it uses less digits than its factorization.

82957392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3950 (or 3931 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 82957392 is about 9108.0948611661. The cubic root of 82957392 is about 436.1324121576.

The spelling of 82957392 in words is "eighty-two million, nine hundred fifty-seven thousand, three hundred ninety-two".