258838167 has 32 divisors (see below), whose sum is σ = 403688448. Its totient is φ = 144458496.

The previous prime is 258838163. The next prime is 258838171. The reversal of 258838167 is 761838852.

It is an interprime number because it is at equal distance from previous prime (258838163) and next prime (258838171).

It is not a de Polignac number, because 258838167 - 2² = 258838163 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258838163) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 347998 + ... + 348740.

It is an arithmetic number, because the mean of its divisors is an integer number (12615264).

Almost surely, 2^258838167 is an apocalyptic number.

258838167 is a deficient number, since it is larger than the sum of its proper divisors (144850281).

258838167 is a wasteful number, since it uses less digits than its factorization.

258838167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1119.

The product of its digits is 645120, while the sum is 48.

The square root of 258838167 is about 16088.4482471120. The cubic root of 258838167 is about 637.2983174395.

It can be divided in two parts, 2588 and 38167, that added together give a triangular number (40755 = T₂₈₅).

The spelling of 258838167 in words is "two hundred fifty-eight million, eight hundred thirty-eight thousand, one hundred sixty-seven".