225504 has 72 divisors (see below), whose sum is σ = 687960. Its totient is φ = 72576.

The previous prime is 225503. The next prime is 225509. The reversal of 225504 is 405522.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 12.

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 225504.

It is not an unprimeable number, because it can be changed into a prime (225503) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7762 + ... + 7790.

It is an arithmetic number, because the mean of its divisors is an integer number (9555).

2²²⁵⁵⁰⁴ is an apocalyptic number.

225504 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 225504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343980).

225504 is an abundant number, since it is smaller than the sum of its proper divisors (462456).

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

225504 is an equidigital number, since it uses as much as digits as its factorization.

225504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 225504 is about 474.8726144978. The cubic root of 225504 is about 60.8673998638.

Adding to 225504 its sum of digits (18), we get a palindrome (225522).

It can be divided in two parts, 225 and 504, that added together give a 6-th power (729 = 3⁶).

The spelling of 225504 in words is "two hundred twenty-five thousand, five hundred four".