257971 has 8 divisors (see below), whose sum is σ = 298080. Its totient is φ = 218688.

The previous prime is 257953. The next prime is 257981. The reversal of 257971 is 179752.

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 257971 - 2⁹ = 257459 is a prime.

It is a Duffinian number.

It is a plaindrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (257921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 825 + ... + 1093.

It is an arithmetic number, because the mean of its divisors is an integer number (37260).

2²⁵⁷⁹⁷¹ is an apocalyptic number.

257971 is a deficient number, since it is larger than the sum of its proper divisors (40109).

257971 is a wasteful number, since it uses less digits than its factorization.

257971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413.

The product of its digits is 4410, while the sum is 31.

The square root of 257971 is about 507.9084563187. The cubic root of 257971 is about 63.6585822847.

The spelling of 257971 in words is "two hundred fifty-seven thousand, nine hundred seventy-one".