225968 has 20 divisors (see below), whose sum is σ = 453840. Its totient is φ = 108864.

The previous prime is 225961. The next prime is 225977. The reversal of 225968 is 869522.

225968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (225961) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 221 + ... + 707.

It is an arithmetic number, because the mean of its divisors is an integer number (22692).

225968 is a Friedman number, since it can be written as 29*(6^5+8*2), using all its digits and the basic arithmetic operations.

2²²⁵⁹⁶⁸ 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 225968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226920).

225968 is an abundant number, since it is smaller than the sum of its proper divisors (227872).

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

225968 is a wasteful number, since it uses less digits than its factorization.

225968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 518 counting only the distinct ones).

The product of its digits is 8640, while the sum is 32.

The square root of 225968 is about 475.3609155158. The cubic root of 225968 is about 60.9091184512.

The spelling of 225968 in words is "two hundred twenty-five thousand, nine hundred sixty-eight".