257874 has 8 divisors (see below), whose sum is σ = 515760. Its totient is φ = 85956.

The previous prime is 257869. The next prime is 257879. The reversal of 257874 is 478752.

257874 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (257869) and next prime (257879).

It is a sphenic number, since it is the product of 3 distinct primes.

257874 is an admirable number.

It is not an unprimeable number, because it can be changed into a prime (257879) by changing a digit.

257874 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, 21484 + ... + 21495.

It is an arithmetic number, because the mean of its divisors is an integer number (64470).

2²⁵⁷⁸⁷⁴ is an apocalyptic number.

257874 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

257874 is a wasteful number, since it uses less digits than its factorization.

257874 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42984.

The product of its digits is 15680, while the sum is 33.

The square root of 257874 is about 507.8129576921. The cubic root of 257874 is about 63.6506025033.

The spelling of 257874 in words is "two hundred fifty-seven thousand, eight hundred seventy-four".