225918 has 48 divisors (see below), whose sum is σ = 614016. Its totient is φ = 58320.

The previous prime is 225889. The next prime is 225919. The reversal of 225918 is 819522.

225918 is nontrivially palindromic in base 8.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 225891 and 225900.

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 225918.

It is not an unprimeable number, because it can be changed into a prime (225919) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1305 + ... + 1467.

It is an arithmetic number, because the mean of its divisors is an integer number (12792).

2²²⁵⁹¹⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225918, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307008).

225918 is an abundant number, since it is smaller than the sum of its proper divisors (388098).

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

225918 is a wasteful number, since it uses less digits than its factorization.

225918 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 186 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 225918 is about 475.3083209875. The cubic root of 225918 is about 60.9046256608.

The spelling of 225918 in words is "two hundred twenty-five thousand, nine hundred eighteen".