225684 has 18 divisors (see below), whose sum is σ = 570570. Its totient is φ = 75216.

The previous prime is 225683. The next prime is 225689. The reversal of 225684 is 486522.

225684 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 only one way, i.e., 176400 + 49284 = 420^2 + 222^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225683) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3099 + ... + 3170.

2²²⁵⁶⁸⁴ is an apocalyptic number.

It is an amenable number.

225684 is an abundant number, since it is smaller than the sum of its proper divisors (344886).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

225684 is a wasteful number, since it uses less digits than its factorization.

225684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6279 (or 6274 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 225684 is about 475.0621012036. The cubic root of 225684 is about 60.8835905865.

It can be divided in two parts, 225 and 684, that added together give a palindrome (909).

The spelling of 225684 in words is "two hundred twenty-five thousand, six hundred eighty-four".