225636 has 12 divisors (see below), whose sum is σ = 526512. Its totient is φ = 75208.

The previous prime is 225629. The next prime is 225637. The reversal of 225636 is 636522.

225636 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (12).

It is a d-powerful number, because it can be written as 2⁸ + 2⁸ + 6⁴ + 5² + 3¹¹ + 6⁶ .

It is not an unprimeable number, because it can be changed into a prime (225637) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9390 + ... + 9413.

It is an arithmetic number, because the mean of its divisors is an integer number (43876).

2²²⁵⁶³⁶ is an apocalyptic number.

It is an amenable number.

225636 is an abundant number, since it is smaller than the sum of its proper divisors (300876).

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

225636 is a wasteful number, since it uses less digits than its factorization.

225636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18810 (or 18808 counting only the distinct ones).

The product of its digits is 2160, while the sum is 24.

The square root of 225636 is about 475.0115788062. The cubic root of 225636 is about 60.8792739024.

It can be divided in two parts, 225 and 636, that added together give a triangular number (861 = T₄₁).

The spelling of 225636 in words is "two hundred twenty-five thousand, six hundred thirty-six".