82657 has 2 divisors, whose sum is σ = 82658. Its totient is φ = 82656.

The previous prime is 82651. The next prime is 82699. The reversal of 82657 is 75628.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 73441 + 9216 = 271^2 + 96^2 .

It is a cyclic number.

It is not a de Polignac number, because 82657 - 2⁷ = 82529 is a prime.

It is the 288-th Hogben number.

It is not a weakly prime, because it can be changed into another prime (82651) by changing a digit.

It is a nontrivial repunit in base 287.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41328 + 41329.

It is an arithmetic number, because the mean of its divisors is an integer number (41329).

2⁸²⁶⁵⁷ is an apocalyptic number.

It is an amenable number.

82657 is a deficient number, since it is larger than the sum of its proper divisors (1).

82657 is an equidigital number, since it uses as much as digits as its factorization.

82657 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3360, while the sum is 28.

The square root of 82657 is about 287.5013043449. The cubic root of 82657 is about 43.5605357908.

Subtracting from 82657 its product of digits (3360), we obtain a palindrome (79297).

The spelling of 82657 in words is "eighty-two thousand, six hundred fifty-seven".