258909 has 8 divisors (see below), whose sum is σ = 394560. Its totient is φ = 147936.

The previous prime is 258887. The next prime is 258917. The reversal of 258909 is 909852.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 258909 - 2¹⁵ = 226141 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 258909.

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 258909.

It is not an unprimeable number, because it can be changed into a prime (258919) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6144 + ... + 6185.

It is an arithmetic number, because the mean of its divisors is an integer number (49320).

2²⁵⁸⁹⁰⁹ is an apocalyptic number.

It is an amenable number.

258909 is a deficient number, since it is larger than the sum of its proper divisors (135651).

258909 is a wasteful number, since it uses less digits than its factorization.

258909 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12339.

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 258909 is about 508.8310132058. The cubic root of 258909 is about 63.7356445954.

The spelling of 258909 in words is "two hundred fifty-eight thousand, nine hundred nine".