257638087 has 8 divisors (see below), whose sum is σ = 294602400. Its totient is φ = 220713504.

The previous prime is 257638057. The next prime is 257638091. The reversal of 257638087 is 780836752.

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

It is a cyclic number.

It is not a de Polignac number, because 257638087 - 2²³ = 249249479 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257638057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5589 + ... + 23377.

It is an arithmetic number, because the mean of its divisors is an integer number (36825300).

Almost surely, 2^257638087 is an apocalyptic number.

257638087 is a deficient number, since it is larger than the sum of its proper divisors (36964313).

257638087 is a wasteful number, since it uses less digits than its factorization.

257638087 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19865.

The product of its (nonzero) digits is 564480, while the sum is 46.

The square root of 257638087 is about 16051.1085909977. The cubic root of 257638087 is about 636.3118657927.

The spelling of 257638087 in words is "two hundred fifty-seven million, six hundred thirty-eight thousand, eighty-seven".