257879217 has 16 divisors (see below), whose sum is σ = 354614400. Its totient is φ = 166588800.

The previous prime is 257879201. The next prime is 257879227. The reversal of 257879217 is 712978752.

It is a happy number.

It is not a de Polignac number, because 257879217 - 2⁴ = 257879201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (257879227) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11292 + ... + 25362.

It is an arithmetic number, because the mean of its divisors is an integer number (22163400).

Almost surely, 2^257879217 is an apocalyptic number.

It is an amenable number.

257879217 is a deficient number, since it is larger than the sum of its proper divisors (96735183).

257879217 is a wasteful number, since it uses less digits than its factorization.

257879217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14264.

The product of its digits is 493920, while the sum is 48.

The square root of 257879217 is about 16058.6181535025. The cubic root of 257879217 is about 636.5103173484.

The spelling of 257879217 in words is "two hundred fifty-seven million, eight hundred seventy-nine thousand, two hundred seventeen".