82057 has 4 divisors (see below), whose sum is σ = 84736. Its totient is φ = 79380.

The previous prime is 82051. The next prime is 82067. The reversal of 82057 is 75028.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 82057 - 2⁷ = 81929 is a prime.

It is a Duffinian number.

82057 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (82051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1293 + ... + 1354.

It is an arithmetic number, because the mean of its divisors is an integer number (21184).

2⁸²⁰⁵⁷ is an apocalyptic number.

It is an amenable number.

82057 is a deficient number, since it is larger than the sum of its proper divisors (2679).

82057 is a wasteful number, since it uses less digits than its factorization.

82057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2678.

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 82057 is about 286.4559302930. The cubic root of 82057 is about 43.4548790076.

The spelling of 82057 in words is "eighty-two thousand, fifty-seven".