258167 has 8 divisors (see below), whose sum is σ = 317856. Its totient is φ = 204192.

The previous prime is 258161. The next prime is 258173. The reversal of 258167 is 761852.

It is an interprime number because it is at equal distance from previous prime (258161) and next prime (258173).

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 258167 - 2¹² = 254071 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 258167.

It is not an unprimeable number, because it can be changed into a prime (258161) 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, 1328 + ... + 1509.

It is an arithmetic number, because the mean of its divisors is an integer number (39732).

2²⁵⁸¹⁶⁷ is an apocalyptic number.

258167 is a deficient number, since it is larger than the sum of its proper divisors (59689).

258167 is a wasteful number, since it uses less digits than its factorization.

258167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2857.

The product of its digits is 3360, while the sum is 29.

The square root of 258167 is about 508.1013678391. The cubic root of 258167 is about 63.6747002767.

It can be divided in two parts, 25 and 8167, that added together give a 13-th power (8192 = 2¹³).

The spelling of 258167 in words is "two hundred fifty-eight thousand, one hundred sixty-seven".