257933221 has 32 divisors (see below), whose sum is σ = 336188160. Its totient is φ = 192374784.

The previous prime is 257933213. The next prime is 257933233. The reversal of 257933221 is 122339752.

It is not a de Polignac number, because 257933221 - 2³ = 257933213 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257933251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112341 + ... + 114613.

It is an arithmetic number, because the mean of its divisors is an integer number (10505880).

Almost surely, 2^257933221 is an apocalyptic number.

It is an amenable number.

257933221 is a deficient number, since it is larger than the sum of its proper divisors (78254939).

257933221 is a wasteful number, since it uses less digits than its factorization.

257933221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2365.

The product of its digits is 22680, while the sum is 34.

The square root of 257933221 is about 16060.2995302080. The cubic root of 257933221 is about 636.5547460340.

The spelling of 257933221 in words is "two hundred fifty-seven million, nine hundred thirty-three thousand, two hundred twenty-one".