225665 has 12 divisors (see below), whose sum is σ = 298452. Its totient is φ = 163680.

The previous prime is 225637. The next prime is 225671. The reversal of 225665 is 566522.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 101761 + 123904 = 319^2 + 352^2 .

It is not a de Polignac number, because 225665 - 2⁶ = 225601 is a prime.

Its product of digits (3600) is a multiple of the sum of its prime factors (400).

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 225665.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 419 + ... + 791.

It is an arithmetic number, because the mean of its divisors is an integer number (24871).

2²²⁵⁶⁶⁵ is an apocalyptic number.

It is an amenable number.

225665 is a deficient number, since it is larger than the sum of its proper divisors (72787).

225665 is a wasteful number, since it uses less digits than its factorization.

225665 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 389 counting only the distinct ones).

The product of its digits is 3600, while the sum is 26.

The square root of 225665 is about 475.0421033972. The cubic root of 225665 is about 60.8818819722.

The spelling of 225665 in words is "two hundred twenty-five thousand, six hundred sixty-five".