225024 has 36 divisors (see below), whose sum is σ = 600936. Its totient is φ = 74752.

The previous prime is 225023. The next prime is 225037. The reversal of 225024 is 420522.

It is a junction number, because it is equal to n+sod(n) for n = 224994 and 225012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225023) 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, 622 + ... + 914.

2²²⁵⁰²⁴ is an apocalyptic number.

225024 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 225024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300468).

225024 is an abundant number, since it is smaller than the sum of its proper divisors (375912).

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

225024 is an equidigital number, since it uses as much as digits as its factorization.

225024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 225024 is about 474.3669465720. The cubic root of 225024 is about 60.8241824396.

Adding to 225024 its reverse (420522), we get a palindrome (645546).

The spelling of 225024 in words is "two hundred twenty-five thousand, twenty-four".