80657 has 2 divisors, whose sum is σ = 80658. Its totient is φ = 80656.

The previous prime is 80651. The next prime is 80669. The reversal of 80657 is 75608.

It is a Cunningham number, because it is equal to 284²+1.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 80656 + 1 = 284^2 + 1^2 .

It is a cyclic number.

It is not a de Polignac number, because 80657 - 2¹⁰ = 79633 is a prime.

It is a Chen prime.

It is equal to p₇₈₉₂ and since 80657 and 7892 have the same sum of digits, it is a Honaker prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 80657.

It is not a weakly prime, because it can be changed into another prime (80651) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 40328 + 40329.

It is an arithmetic number, because the mean of its divisors is an integer number (40329).

2⁸⁰⁶⁵⁷ is an apocalyptic number.

It is an amenable number.

80657 is a deficient number, since it is larger than the sum of its proper divisors (1).

80657 is an equidigital number, since it uses as much as digits as its factorization.

80657 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 80657 is about 284.0017605579. The cubic root of 80657 is about 43.2063276625.

It can be divided in two parts, 80 and 657, that added together give a palindrome (737).

The spelling of 80657 in words is "eighty thousand, six hundred fifty-seven".