225624 has 64 divisors (see below), whose sum is σ = 691200. Its totient is φ = 59904.

The previous prime is 225619. The next prime is 225629. The reversal of 225624 is 426522.

225624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 475²-1.

It is an interprime number because it is at equal distance from previous prime (225619) and next prime (225629).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 225624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225629) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2817 + ... + 2895.

It is an arithmetic number, because the mean of its divisors is an integer number (10800).

2²²⁵⁶²⁴ is an apocalyptic number.

225624 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345600).

225624 is an abundant number, since it is smaller than the sum of its proper divisors (465576).

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

225624 is a wasteful number, since it uses less digits than its factorization.

225624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 108 counting only the distinct ones).

The product of its digits is 960, while the sum is 21.

The square root of 225624 is about 474.9989473673. The cubic root of 225624 is about 60.8781946358.

The spelling of 225624 in words is "two hundred twenty-five thousand, six hundred twenty-four".