257684 has 12 divisors (see below), whose sum is σ = 515424. Its totient is φ = 110424.

The previous prime is 257671. The next prime is 257687. The reversal of 257684 is 486752.

257684 is an admirable number.

It is a plaindrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 257684.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257687) 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, 4574 + ... + 4629.

It is an arithmetic number, because the mean of its divisors is an integer number (42952).

2²⁵⁷⁶⁸⁴ is an apocalyptic number.

It is an amenable number.

257684 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

257684 is a wasteful number, since it uses less digits than its factorization.

257684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9214 (or 9212 counting only the distinct ones).

The product of its digits is 13440, while the sum is 32.

The square root of 257684 is about 507.6258464657. The cubic root of 257684 is about 63.6349662031.

The spelling of 257684 in words is "two hundred fifty-seven thousand, six hundred eighty-four".