259809 has 8 divisors (see below), whose sum is σ = 377952. Its totient is φ = 157440.

The previous prime is 259801. The next prime is 259813. The reversal of 259809 is 908952.

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

It is not a de Polignac number, because 259809 - 2³ = 259801 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33), and also a Moran number because the ratio is a prime number: 7873 = 259809 / (2 + 5 + 9 + 8 + 0 + 9).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 259809.

It is not an unprimeable number, because it can be changed into a prime (259801) 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, 3904 + ... + 3969.

It is an arithmetic number, because the mean of its divisors is an integer number (47244).

2²⁵⁹⁸⁰⁹ is an apocalyptic number.

It is an amenable number.

259809 is a deficient number, since it is larger than the sum of its proper divisors (118143).

259809 is a wasteful number, since it uses less digits than its factorization.

259809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7887.

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

The square root of 259809 is about 509.7146260409. The cubic root of 259809 is about 63.8094102071.

The spelling of 259809 in words is "two hundred fifty-nine thousand, eight hundred nine".