257291321 has 8 divisors (see below), whose sum is σ = 294989184. Its totient is φ = 219828960.

The previous prime is 257291267. The next prime is 257291329. The reversal of 257291321 is 123192752.

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 257291321 - 2¹⁸ = 257029177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (257291329) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 56525 + ... + 60906.

It is an arithmetic number, because the mean of its divisors is an integer number (36873648).

Almost surely, 2^257291321 is an apocalyptic number.

It is an amenable number.

257291321 is a deficient number, since it is larger than the sum of its proper divisors (37697863).

257291321 is a wasteful number, since it uses less digits than its factorization.

257291321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117751.

The product of its digits is 7560, while the sum is 32.

The square root of 257291321 is about 16040.3030208285. The cubic root of 257291321 is about 636.0262579312.

The spelling of 257291321 in words is "two hundred fifty-seven million, two hundred ninety-one thousand, three hundred twenty-one".