225585 has 20 divisors (see below), whose sum is σ = 405108. Its totient is φ = 120096.

The previous prime is 225583. The next prime is 225601. The reversal of 225585 is 585522.

225585 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 2 ways, for example, as 46656 + 178929 = 216^2 + 423^2 .

It is not a de Polignac number, because 225585 - 2¹ = 225583 is a prime.

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

It is an Ulam number.

225585 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (225581) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 127 + ... + 683.

2²²⁵⁵⁸⁵ is an apocalyptic number.

It is an amenable number.

225585 is a deficient number, since it is larger than the sum of its proper divisors (179523).

225585 is an equidigital number, since it uses as much as digits as its factorization.

225585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 565 counting only the distinct ones).

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

The square root of 225585 is about 474.9578928705. The cubic root of 225585 is about 60.8746867548.

The spelling of 225585 in words is "two hundred twenty-five thousand, five hundred eighty-five".