225837 has 12 divisors (see below), whose sum is σ = 340704. Its totient is φ = 143880.

The previous prime is 225829. The next prime is 225839. The reversal of 225837 is 738522.

It is not a de Polignac number, because 225837 - 2³ = 225829 is a prime.

Its product of digits (3360) is a multiple of the sum of its prime factors (1120).

It is a self number, because there is not a number n which added to its sum of digits gives 225837.

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 225837.

It is not an unprimeable number, because it can be changed into a prime (225839) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 339 + ... + 752.

It is an arithmetic number, because the mean of its divisors is an integer number (28392).

2²²⁵⁸³⁷ is an apocalyptic number.

It is an amenable number.

225837 is a deficient number, since it is larger than the sum of its proper divisors (114867).

225837 is a wasteful number, since it uses less digits than its factorization.

225837 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1120 (or 1117 counting only the distinct ones).

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

The square root of 225837 is about 475.2231054989. The cubic root of 225837 is about 60.8973459333.

The spelling of 225837 in words is "two hundred twenty-five thousand, eight hundred thirty-seven".