257992 has 32 divisors (see below), whose sum is σ = 587520. Its totient is φ = 103680.

The previous prime is 257989. The next prime is 257993. The reversal of 257992 is 299752.

257992 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257993) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 817 + ... + 1087.

It is an arithmetic number, because the mean of its divisors is an integer number (18360).

2²⁵⁷⁹⁹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293760).

257992 is an abundant number, since it is smaller than the sum of its proper divisors (329528).

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

257992 is a wasteful number, since it uses less digits than its factorization.

257992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 297 counting only the distinct ones).

The product of its digits is 11340, while the sum is 34.

The square root of 257992 is about 507.9291289147. The cubic root of 257992 is about 63.6603096029.

The spelling of 257992 in words is "two hundred fifty-seven thousand, nine hundred ninety-two".