225106585 has 24 divisors (see below), whose sum is σ = 312560640. Its totient is φ = 155089440.

The previous prime is 225106577. The next prime is 225106597. The reversal of 225106585 is 585601522.

It is not a de Polignac number, because 225106585 - 2³ = 225106577 is a prime.

It is a super-2 number, since 2×225106585² = 101345949220724450, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 225106585.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1704 + ... + 21286.

It is an arithmetic number, because the mean of its divisors is an integer number (13023360).

Almost surely, 2^225106585 is an apocalyptic number.

It is an amenable number.

225106585 is a deficient number, since it is larger than the sum of its proper divisors (87454055).

225106585 is a wasteful number, since it uses less digits than its factorization.

225106585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19629 (or 19618 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 34.

The square root of 225106585 is about 15003.5524126788. The cubic root of 225106585 is about 608.3162246184.

The spelling of 225106585 in words is "two hundred twenty-five million, one hundred six thousand, five hundred eighty-five".