257859 has 12 divisors (see below), whose sum is σ = 425776. Its totient is φ = 147312.

The previous prime is 257857. The next prime is 257861. The reversal of 257859 is 958752.

It is an interprime number because it is at equal distance from previous prime (257857) and next prime (257861).

It is not a de Polignac number, because 257859 - 2¹ = 257857 is a prime.

It is a Duffinian number.

257859 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (257857) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1984 + ... + 2109.

2²⁵⁷⁸⁵⁹ is an apocalyptic number.

257859 is a deficient number, since it is larger than the sum of its proper divisors (167917).

257859 is a wasteful number, since it uses less digits than its factorization.

257859 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4106 (or 4103 counting only the distinct ones).

The product of its digits is 25200, while the sum is 36.

The square root of 257859 is about 507.7981882599. The cubic root of 257859 is about 63.6493683379.

The spelling of 257859 in words is "two hundred fifty-seven thousand, eight hundred fifty-nine".