258009 has 8 divisors (see below), whose sum is σ = 364320. Its totient is φ = 161856.

The previous prime is 257993. The next prime is 258019. The reversal of 258009 is 900852.

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

It is not a de Polignac number, because 258009 - 2⁴ = 257993 is a prime.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 258009.

It is not an unprimeable number, because it can be changed into a prime (258019) 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, 2479 + ... + 2580.

It is an arithmetic number, because the mean of its divisors is an integer number (45540).

2²⁵⁸⁰⁰⁹ is an apocalyptic number.

It is an amenable number.

258009 is a deficient number, since it is larger than the sum of its proper divisors (106311).

258009 is a wasteful number, since it uses less digits than its factorization.

258009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5079.

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 258009 is about 507.9458632571. The cubic root of 258009 is about 63.6617078394.

The spelling of 258009 in words is "two hundred fifty-eight thousand, nine".