82057523 has 8 divisors (see below), whose sum is σ = 88483920. Its totient is φ = 75841920.

The previous prime is 82057511. The next prime is 82057529. The reversal of 82057523 is 32575028.

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

It is not a de Polignac number, because 82057523 - 2¹⁸ = 81795379 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 82057523.

It is not an unprimeable number, because it can be changed into a prime (82057529) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51890 + ... + 53447.

It is an arithmetic number, because the mean of its divisors is an integer number (11060490).

Almost surely, 2^82057523 is an apocalyptic number.

82057523 is a deficient number, since it is larger than the sum of its proper divisors (6426397).

82057523 is a wasteful number, since it uses less digits than its factorization.

82057523 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105397.

The product of its (nonzero) digits is 16800, while the sum is 32.

The square root of 82057523 is about 9058.5607576480. The cubic root of 82057523 is about 434.5497132901.

The spelling of 82057523 in words is "eighty-two million, fifty-seven thousand, five hundred twenty-three".