257888 has 12 divisors (see below), whose sum is σ = 507780. Its totient is φ = 128928.

The previous prime is 257879. The next prime is 257893. The reversal of 257888 is 888752.

257888 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a plaindrome in base 10.

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 257888.

It is an unprimeable number.

257888 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 3998 + ... + 4061.

It is an arithmetic number, because the mean of its divisors is an integer number (42315).

2²⁵⁷⁸⁸⁸ is an apocalyptic number.

It is an amenable number.

257888 is a deficient number, since it is larger than the sum of its proper divisors (249892).

257888 is an equidigital number, since it uses as much as digits as its factorization.

257888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8069 (or 8061 counting only the distinct ones).

The product of its digits is 35840, while the sum is 38.

The square root of 257888 is about 507.8267421080. The cubic root of 257888 is about 63.6517543479.

The spelling of 257888 in words is "two hundred fifty-seven thousand, eight hundred eighty-eight".