257892 has 12 divisors (see below), whose sum is σ = 601776. Its totient is φ = 85960.

The previous prime is 257879. The next prime is 257893. The reversal of 257892 is 298752.

257892 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (12).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 257892.

It is not an unprimeable number, because it can be changed into a prime (257893) by changing a digit.

257892 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10734 + ... + 10757.

It is an arithmetic number, because the mean of its divisors is an integer number (50148).

2²⁵⁷⁸⁹² is an apocalyptic number.

It is an amenable number.

257892 is an abundant number, since it is smaller than the sum of its proper divisors (343884).

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

257892 is a wasteful number, since it uses less digits than its factorization.

257892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21498 (or 21496 counting only the distinct ones).

The product of its digits is 10080, while the sum is 33.

The square root of 257892 is about 507.8306804438. The cubic root of 257892 is about 63.6520834387.

The spelling of 257892 in words is "two hundred fifty-seven thousand, eight hundred ninety-two".