82157 has 4 divisors (see below), whose sum is σ = 85020. Its totient is φ = 79296.

The previous prime is 82153. The next prime is 82163. The reversal of 82157 is 75128.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 37636 + 44521 = 194^2 + 211^2 .

It is a cyclic number.

It is not a de Polignac number, because 82157 - 2² = 82153 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82153) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1388 + ... + 1445.

It is an arithmetic number, because the mean of its divisors is an integer number (21255).

2⁸²¹⁵⁷ is an apocalyptic number.

It is an amenable number.

82157 is a deficient number, since it is larger than the sum of its proper divisors (2863).

82157 is a wasteful number, since it uses less digits than its factorization.

82157 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2862.

The product of its digits is 560, while the sum is 23.

The square root of 82157 is about 286.6304240656. The cubic root of 82157 is about 43.4725241561.

It can be divided in two parts, 821 and 57, that added together give a palindrome (878).

The spelling of 82157 in words is "eighty-two thousand, one hundred fifty-seven".