258164 has 12 divisors (see below), whose sum is σ = 455364. Its totient is φ = 128064.

The previous prime is 258161. The next prime is 258173. The reversal of 258164 is 461852.

It can be written as a sum of positive squares in 2 ways, for example, as 48400 + 209764 = 220^2 + 458^2 .

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 794 + ... + 1070.

It is an arithmetic number, because the mean of its divisors is an integer number (37947).

2²⁵⁸¹⁶⁴ is an apocalyptic number.

It is an amenable number.

258164 is a deficient number, since it is larger than the sum of its proper divisors (197200).

258164 is a wasteful number, since it uses less digits than its factorization.

258164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 512 counting only the distinct ones).

The product of its digits is 1920, while the sum is 26.

The square root of 258164 is about 508.0984156637. The cubic root of 258164 is about 63.6744536343.

The spelling of 258164 in words is "two hundred fifty-eight thousand, one hundred sixty-four".