259585 has 8 divisors (see below), whose sum is σ = 314280. Its totient is φ = 205824.

The previous prime is 259583. The next prime is 259603. The reversal of 259585 is 585952.

259585 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1521 + 258064 = 39^2 + 508^2 .

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 259585 - 2¹ = 259583 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 259585.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259583) 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, 831 + ... + 1099.

It is an arithmetic number, because the mean of its divisors is an integer number (39285).

It is a Proth number, since it is equal to 507 ⋅ 2⁹ + 1 and 507 < 2⁹.

2²⁵⁹⁵⁸⁵ is an apocalyptic number.

It is an amenable number.

259585 is a deficient number, since it is larger than the sum of its proper divisors (54695).

259585 is a wasteful number, since it uses less digits than its factorization.

259585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467.

The product of its digits is 18000, while the sum is 34.

The square root of 259585 is about 509.4948478640. The cubic root of 259585 is about 63.7910667091.

The spelling of 259585 in words is "two hundred fifty-nine thousand, five hundred eighty-five".