82057023 has 16 divisors (see below), whose sum is σ = 123628800. Its totient is φ = 53776440.

The previous prime is 82056983. The next prime is 82057033. The reversal of 82057023 is 32075028.

It is not a de Polignac number, because 82057023 - 2⁹ = 82056511 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82057033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24163 + ... + 27348.

It is an arithmetic number, because the mean of its divisors is an integer number (7726800).

Almost surely, 2^82057023 is an apocalyptic number.

82057023 is a deficient number, since it is larger than the sum of its proper divisors (41571777).

82057023 is a wasteful number, since it uses less digits than its factorization.

82057023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51579 (or 51573 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 82057023 is about 9058.5331594028. The cubic root of 82057023 is about 434.5488306763.

The spelling of 82057023 in words is "eighty-two million, fifty-seven thousand, twenty-three".