872657 has 2 divisors, whose sum is σ = 872658. Its totient is φ = 872656.

The previous prime is 872647. The next prime is 872659. The reversal of 872657 is 756278.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 638401 + 234256 = 799^2 + 484^2 .

It is a cyclic number.

It is not a de Polignac number, because 872657 - 2¹² = 868561 is a prime.

Together with 872659, it forms a pair of twin primes.

It is a Chen prime.

It is an Ulam number.

It is not a weakly prime, because it can be changed into another prime (872659) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 436328 + 436329.

It is an arithmetic number, because the mean of its divisors is an integer number (436329).

2⁸⁷²⁶⁵⁷ is an apocalyptic number.

It is an amenable number.

872657 is a deficient number, since it is larger than the sum of its proper divisors (1).

872657 is an equidigital number, since it uses as much as digits as its factorization.

872657 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 23520, while the sum is 35.

The square root of 872657 is about 934.1611210064. The cubic root of 872657 is about 95.5611114391.

It can be divided in two parts, 87 and 2657, that added together give a cube (2744 = 14³).

The spelling of 872657 in words is "eight hundred seventy-two thousand, six hundred fifty-seven".