259657 has 2 divisors, whose sum is σ = 259658. Its totient is φ = 259656.

The previous prime is 259643. The next prime is 259667. The reversal of 259657 is 756952.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 259081 + 576 = 509^2 + 24^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-259657 is a prime.

It is a nialpdrome in base 8.

It is not a weakly prime, because it can be changed into another prime (259627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 129828 + 129829.

It is an arithmetic number, because the mean of its divisors is an integer number (129829).

2²⁵⁹⁶⁵⁷ is an apocalyptic number.

It is an amenable number.

259657 is a deficient number, since it is larger than the sum of its proper divisors (1).

259657 is an equidigital number, since it uses as much as digits as its factorization.

259657 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 18900, while the sum is 34.

The square root of 259657 is about 509.5655011870. The cubic root of 259657 is about 63.7969639839.

The spelling of 259657 in words is "two hundred fifty-nine thousand, six hundred fifty-seven".