258916 has 18 divisors (see below), whose sum is σ = 527478. Its totient is φ = 110880.

The previous prime is 258887. The next prime is 258917. The reversal of 258916 is 619852.

It can be written as a sum of positive squares in only one way, i.e., 254016 + 4900 = 504^2 + 70^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258917) by changing a digit.

258916 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 465 + ... + 856.

2²⁵⁸⁹¹⁶ is an apocalyptic number.

It is an amenable number.

258916 is an abundant number, since it is smaller than the sum of its proper divisors (268562).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

258916 is a wasteful number, since it uses less digits than its factorization.

258916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1339 (or 1330 counting only the distinct ones).

The product of its digits is 4320, while the sum is 31.

The square root of 258916 is about 508.8378916708. The cubic root of 258916 is about 63.7362189870.

It can be divided in two parts, 258 and 916, that multiplied together give a triangular number (236328 = T₆₈₇).

The spelling of 258916 in words is "two hundred fifty-eight thousand, nine hundred sixteen".