257921067 has 8 divisors (see below), whose sum is σ = 361994560. Its totient is φ = 162897480.

The previous prime is 257921063. The next prime is 257921113. The reversal of 257921067 is 760129752.

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

It is not a de Polignac number, because 257921067 - 2² = 257921063 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (257921063) 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, 2262409 + ... + 2262522.

It is an arithmetic number, because the mean of its divisors is an integer number (45249320).

Almost surely, 2^257921067 is an apocalyptic number.

257921067 is a deficient number, since it is larger than the sum of its proper divisors (104073493).

257921067 is a wasteful number, since it uses less digits than its factorization.

257921067 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4524953.

The product of its (nonzero) digits is 52920, while the sum is 39.

The square root of 257921067 is about 16059.9211392833. The cubic root of 257921067 is about 636.5447475702.

The spelling of 257921067 in words is "two hundred fifty-seven million, nine hundred twenty-one thousand, sixty-seven".