257642 has 24 divisors (see below), whose sum is σ = 492480. Its totient is φ = 99960.

The previous prime is 257639. The next prime is 257657. The reversal of 257642 is 246752.

257642 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 257642.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 959 + ... + 1197.

It is an arithmetic number, because the mean of its divisors is an integer number (20520).

2²⁵⁷⁶⁴² is an apocalyptic number.

257642 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

257642 is a deficient number, since it is larger than the sum of its proper divisors (234838).

257642 is a wasteful number, since it uses less digits than its factorization.

257642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 259 counting only the distinct ones).

The product of its digits is 3360, while the sum is 26.

The square root of 257642 is about 507.5844757279. The cubic root of 257642 is about 63.6315087205.

It can be divided in two parts, 25 and 7642, that added together give a palindrome (7667).

The spelling of 257642 in words is "two hundred fifty-seven thousand, six hundred forty-two".