257873 has 16 divisors (see below), whose sum is σ = 342144. Its totient is φ = 188160.

The previous prime is 257869. The next prime is 257879. The reversal of 257873 is 378752.

It is not a de Polignac number, because 257873 - 2² = 257869 is a prime.

It is not an unprimeable number, because it can be changed into a prime (257879) 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, 1211 + ... + 1407.

It is an arithmetic number, because the mean of its divisors is an integer number (21384).

2²⁵⁷⁸⁷³ is an apocalyptic number.

It is an amenable number.

257873 is a deficient number, since it is larger than the sum of its proper divisors (84271).

257873 is a wasteful number, since it uses less digits than its factorization.

257873 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232.

The product of its digits is 11760, while the sum is 32.

The square root of 257873 is about 507.8119730766. The cubic root of 257873 is about 63.6505202271.

It can be divided in two parts, 2 and 57873, that added together give a palindrome (57875).

The spelling of 257873 in words is "two hundred fifty-seven thousand, eight hundred seventy-three".