225824 has 12 divisors (see below), whose sum is σ = 444654. Its totient is φ = 112896.

The previous prime is 225821. The next prime is 225829. The reversal of 225824 is 428522.

It can be written as a sum of positive squares in only one way, i.e., 115600 + 110224 = 340^2 + 332^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 225824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3497 + ... + 3560.

2²²⁵⁸²⁴ is an apocalyptic number.

It is an amenable number.

225824 is a deficient number, since it is larger than the sum of its proper divisors (218830).

225824 is an equidigital number, since it uses as much as digits as its factorization.

225824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7067 (or 7059 counting only the distinct ones).

The product of its digits is 1280, while the sum is 23.

The square root of 225824 is about 475.2094275159. The cubic root of 225824 is about 60.8961774199.

The spelling of 225824 in words is "two hundred twenty-five thousand, eight hundred twenty-four".