257564 has 12 divisors (see below), whose sum is σ = 474600. Its totient is φ = 121968.

The previous prime is 257561. The next prime is 257591. The reversal of 257564 is 465752.

257564 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 257564.

It is not an unprimeable number, because it can be changed into a prime (257561) 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 in 3 ways as a sum of consecutive naturals, for example, 1619 + ... + 1770.

It is an arithmetic number, because the mean of its divisors is an integer number (39550).

2²⁵⁷⁵⁶⁴ is an apocalyptic number.

It is an amenable number.

257564 is a deficient number, since it is larger than the sum of its proper divisors (217036).

257564 is a wasteful number, since it uses less digits than its factorization.

257564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3412 (or 3410 counting only the distinct ones).

The product of its digits is 8400, while the sum is 29.

The square root of 257564 is about 507.5076354105. The cubic root of 257564 is about 63.6250866845.

The spelling of 257564 in words is "two hundred fifty-seven thousand, five hundred sixty-four".