82957 has 6 divisors (see below), whose sum is σ = 96558. Its totient is φ = 71064.

The previous prime is 82939. The next prime is 82963. The reversal of 82957 is 75928.

It can be written as a sum of positive squares in only one way, i.e., 67081 + 15876 = 259^2 + 126^2 .

It is not a de Polignac number, because 82957 - 2¹¹ = 80909 is a prime.

82957 is a lucky number.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82997) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 798 + ... + 895.

It is an arithmetic number, because the mean of its divisors is an integer number (16093).

2⁸²⁹⁵⁷ is an apocalyptic number.

It is an amenable number.

82957 is a deficient number, since it is larger than the sum of its proper divisors (13601).

82957 is a wasteful number, since it uses less digits than its factorization.

82957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1707 (or 1700 counting only the distinct ones).

The product of its digits is 5040, while the sum is 31.

The square root of 82957 is about 288.0225685602. The cubic root of 82957 is about 43.6131725202.

The spelling of 82957 in words is "eighty-two thousand, nine hundred fifty-seven".