257333945 has 16 divisors (see below), whose sum is σ = 347742720. Its totient is φ = 181113600.

The previous prime is 257333939. The next prime is 257333953. The reversal of 257333945 is 549333752.

It is not a de Polignac number, because 257333945 - 2⁸ = 257333689 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73760 + ... + 77169.

It is an arithmetic number, because the mean of its divisors is an integer number (21733920).

Almost surely, 2^257333945 is an apocalyptic number.

It is an amenable number.

257333945 is a deficient number, since it is larger than the sum of its proper divisors (90408775).

257333945 is a wasteful number, since it uses less digits than its factorization.

257333945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150976.

The product of its digits is 340200, while the sum is 41.

The square root of 257333945 is about 16041.6316190093. The cubic root of 257333945 is about 636.0613782846.

The spelling of 257333945 in words is "two hundred fifty-seven million, three hundred thirty-three thousand, nine hundred forty-five".