259209 has 12 divisors (see below), whose sum is σ = 380016. Its totient is φ = 170232.

The previous prime is 259201. The next prime is 259211. The reversal of 259209 is 902952.

It is not a de Polignac number, because 259209 - 2³ = 259201 is a prime.

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 259209.

It is not an unprimeable number, because it can be changed into a prime (259201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 574 + ... + 920.

It is an arithmetic number, because the mean of its divisors is an integer number (31668).

259209 is a Friedman number, since it can be written as 9+90^2*2^5, using all its digits and the basic arithmetic operations.

2²⁵⁹²⁰⁹ is an apocalyptic number.

It is an amenable number.

259209 is a deficient number, since it is larger than the sum of its proper divisors (120807).

259209 is a wasteful number, since it uses less digits than its factorization.

259209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 259209 is about 509.1257212124. The cubic root of 259209 is about 63.7602520998.

The spelling of 259209 in words is "two hundred fifty-nine thousand, two hundred nine".