225828 has 60 divisors (see below), whose sum is σ = 640332. Its totient is φ = 69120.

The previous prime is 225821. The next prime is 225829. The reversal of 225828 is 828522.

It can be written as a sum of positive squares in 2 ways, for example, as 82944 + 142884 = 288^2 + 378^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

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

225828 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5488 + ... + 5528.

2²²⁵⁸²⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320166).

225828 is an abundant number, since it is smaller than the sum of its proper divisors (414504).

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

225828 is a wasteful number, since it uses less digits than its factorization.

225828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 63 counting only the distinct ones).

The product of its digits is 2560, while the sum is 27.

The square root of 225828 is about 475.2136361680. The cubic root of 225828 is about 60.8965369673.

The spelling of 225828 in words is "two hundred twenty-five thousand, eight hundred twenty-eight".