257083164 has 36 divisors (see below), whose sum is σ = 699838776. Its totient is φ = 79102368.

The previous prime is 257083139. The next prime is 257083171. The reversal of 257083164 is 461380752.

257083164 is a `hidden beast` number, since 2 + 570 + 83 + 1 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 274194 + ... + 275129.

It is an arithmetic number, because the mean of its divisors is an integer number (19439966).

Almost surely, 2^257083164 is an apocalyptic number.

It is an amenable number.

257083164 is an abundant number, since it is smaller than the sum of its proper divisors (442755612).

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

257083164 is a wasteful number, since it uses less digits than its factorization.

257083164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549346 (or 549341 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 257083164 is about 16033.8131459737. The cubic root of 257083164 is about 635.8546897172.

The spelling of 257083164 in words is "two hundred fifty-seven million, eighty-three thousand, one hundred sixty-four".