225873 has 6 divisors (see below), whose sum is σ = 326274. Its totient is φ = 150576.

The previous prime is 225871. The next prime is 225889. The reversal of 225873 is 378522.

225873 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 173889 + 51984 = 417^2 + 228^2 .

It is not a de Polignac number, because 225873 - 2¹ = 225871 is a prime.

It is a super-2 number, since 2×225873² = 102037224258, which contains 22 as substring.

It is a Curzon number.

It is a plaindrome in base 11.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 225873.

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

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12540 + ... + 12557.

It is an arithmetic number, because the mean of its divisors is an integer number (54379).

2²²⁵⁸⁷³ is an apocalyptic number.

It is an amenable number.

225873 is a deficient number, since it is larger than the sum of its proper divisors (100401).

225873 is a wasteful number, since it uses less digits than its factorization.

225873 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25103 (or 25100 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 225873 is about 475.2609809357. The cubic root of 225873 is about 60.9005815826.

The spelling of 225873 in words is "two hundred twenty-five thousand, eight hundred seventy-three".