585225 has 45 divisors (see below), whose sum is σ = 1151557. Its totient is φ = 293760.

The previous prime is 585217. The next prime is 585251. The reversal of 585225 is 522585.

The square root of 585225 is 765.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 13689 + 571536 = 117^2 + 756^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 585225 - 2³ = 585217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a Duffinian number.

Its product of digits (4000) is a multiple of the sum of its prime divisors (25).

It is a Curzon number.

It is a plaindrome in base 14.

It is a nialpdrome in base 15.

It is a zygodrome in base 14.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 34417 + ... + 34433.

585225 is a Friedman number, since it can be written as (255*(8-5))^2, using all its digits and the basic arithmetic operations.

2⁵⁸⁵²²⁵ is an apocalyptic number.

585225 is the 765-th square number.

585225 is the 383-rd centered octagonal number.

It is an amenable number.

585225 is a deficient number, since it is larger than the sum of its proper divisors (566332).

585225 is a wasteful number, since it uses less digits than its factorization.

585225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 25 counting only the distinct ones).

The product of its digits is 4000, while the sum is 27.

The cubic root of 585225 is about 83.6451870668.

The spelling of 585225 in words is "five hundred eighty-five thousand, two hundred twenty-five".