259205 has 8 divisors (see below), whose sum is σ = 317952. Its totient is φ = 202768.

The previous prime is 259201. The next prime is 259211. The reversal of 259205 is 502952.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 259205 - 2² = 259201 is a prime.

It is a Duffinian number.

It is a Curzon number.

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 259205.

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 7 ways as a sum of consecutive naturals, for example, 317 + ... + 786.

It is an arithmetic number, because the mean of its divisors is an integer number (39744).

259205 is a Friedman number, since it can be written as 5+90^2*2^5, using all its digits and the basic arithmetic operations.

2²⁵⁹²⁰⁵ is an apocalyptic number.

It is an amenable number.

259205 is a deficient number, since it is larger than the sum of its proper divisors (58747).

259205 is a wasteful number, since it uses less digits than its factorization.

259205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1155.

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 259205 is about 509.1217928944. The cubic root of 259205 is about 63.7599241246.

It can be divided in two parts, 25920 and 5, that multiplied together give a square (129600 = 360²).

The spelling of 259205 in words is "two hundred fifty-nine thousand, two hundred five".