257889 has 16 divisors (see below), whose sum is σ = 368640. Its totient is φ = 160080.

The previous prime is 257879. The next prime is 257893. The reversal of 257889 is 988752.

It is not a de Polignac number, because 257889 - 2⁵ = 257857 is a prime.

Its product of digits (40320) is a multiple of the sum of its prime divisors (140).

It is a plaindrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (257869) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4342 + ... + 4400.

It is an arithmetic number, because the mean of its divisors is an integer number (23040).

2²⁵⁷⁸⁸⁹ is an apocalyptic number.

It is an amenable number.

257889 is a deficient number, since it is larger than the sum of its proper divisors (110751).

257889 is a wasteful number, since it uses less digits than its factorization.

257889 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140.

The product of its digits is 40320, while the sum is 39.

The square root of 257889 is about 507.8277266948. The cubic root of 257889 is about 63.6518366209.

The spelling of 257889 in words is "two hundred fifty-seven thousand, eight hundred eighty-nine".