225885 has 24 divisors (see below), whose sum is σ = 405216. Its totient is φ = 106560.

The previous prime is 225871. The next prime is 225889. The reversal of 225885 is 588522.

It is not a de Polignac number, because 225885 - 2⁶ = 225821 is a prime.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 225885.

It is not an unprimeable number, because it can be changed into a prime (225889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6087 + ... + 6123.

It is an arithmetic number, because the mean of its divisors is an integer number (16884).

2²²⁵⁸⁸⁵ is an apocalyptic number.

It is an amenable number.

225885 is a deficient number, since it is larger than the sum of its proper divisors (179331).

225885 is a wasteful number, since it uses less digits than its factorization.

225885 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 56 counting only the distinct ones).

The product of its digits is 6400, while the sum is 30.

The square root of 225885 is about 475.2736054106. The cubic root of 225885 is about 60.9016600560.

The spelling of 225885 in words is "two hundred twenty-five thousand, eight hundred eighty-five".