257167 has 4 divisors (see below), whose sum is σ = 258520. Its totient is φ = 255816.

The previous prime is 257161. The next prime is 257171. The reversal of 257167 is 761752.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-257167 is a prime.

It is a super-2 number, since 2×257167² = 132269731778, which contains 22 as substring.

It is a Duffinian number.

257167 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257161) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 333 + ... + 790.

It is an arithmetic number, because the mean of its divisors is an integer number (64630).

2²⁵⁷¹⁶⁷ is an apocalyptic number.

257167 is a deficient number, since it is larger than the sum of its proper divisors (1353).

257167 is a wasteful number, since it uses less digits than its factorization.

257167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1352.

The product of its digits is 2940, while the sum is 28.

The square root of 257167 is about 507.1163574566. The cubic root of 257167 is about 63.5923800583.

It can be divided in two parts, 257 and 167, that added together give a palindrome (424).

The spelling of 257167 in words is "two hundred fifty-seven thousand, one hundred sixty-seven".