225876 has 24 divisors (see below), whose sum is σ = 602560. Its totient is φ = 64512.

The previous prime is 225871. The next prime is 225889. The reversal of 225876 is 678522.

225876 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 225876.

It is not an unprimeable number, because it can be changed into a prime (225871) by changing a digit.

225876 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 7 ways as a sum of consecutive naturals, for example, 1261 + ... + 1428.

2²²⁵⁸⁷⁶ is an apocalyptic number.

It is an amenable number.

225876 is an abundant number, since it is smaller than the sum of its proper divisors (376684).

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

225876 is a wasteful number, since it uses less digits than its factorization.

225876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2703 (or 2701 counting only the distinct ones).

The product of its digits is 6720, while the sum is 30.

The square root of 225876 is about 475.2641370859. The cubic root of 225876 is about 60.9008512045.

It can be divided in two parts, 2 and 25876, that added together give a triangular number (25878 = T₂₂₇).

The spelling of 225876 in words is "two hundred twenty-five thousand, eight hundred seventy-six".