257871 has 8 divisors (see below), whose sum is σ = 352000. Its totient is φ = 167832.

The previous prime is 257869. The next prime is 257879. The reversal of 257871 is 178752.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 257871 - 2¹ = 257869 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257879) 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, 871 + ... + 1128.

It is an arithmetic number, because the mean of its divisors is an integer number (44000).

2²⁵⁷⁸⁷¹ is an apocalyptic number.

257871 is a deficient number, since it is larger than the sum of its proper divisors (94129).

257871 is a wasteful number, since it uses less digits than its factorization.

257871 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2045.

The product of its digits is 3920, while the sum is 30.

The square root of 257871 is about 507.8100038400. The cubic root of 257871 is about 63.6503556740.

It can be divided in two parts, 257 and 871, that added together give a triangular number (1128 = T₄₇).

The spelling of 257871 in words is "two hundred fifty-seven thousand, eight hundred seventy-one".