257091 has 12 divisors (see below), whose sum is σ = 368136. Its totient is φ = 159040.

The previous prime is 257077. The next prime is 257093. The reversal of 257091 is 190752.

It is not a de Polignac number, because 257091 - 2⁹ = 256579 is a prime.

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (257093) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3586 + ... + 3656.

It is an arithmetic number, because the mean of its divisors is an integer number (30678).

2²⁵⁷⁰⁹¹ is an apocalyptic number.

257091 is a deficient number, since it is larger than the sum of its proper divisors (111045).

257091 is an equidigital number, since it uses as much as digits as its factorization.

257091 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 24.

The square root of 257091 is about 507.0414184265. The cubic root of 257091 is about 63.5861150022.

The spelling of 257091 in words is "two hundred fifty-seven thousand, ninety-one".