225365 has 16 divisors (see below), whose sum is σ = 317952. Its totient is φ = 150144.

The previous prime is 225353. The next prime is 225371. The reversal of 225365 is 563522.

It is a happy number.

225365 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 225365 - 2⁴ = 225349 is a prime.

It is a d-powerful number, because it can be written as 2¹⁴ + 2¹⁷ + 3 + 5⁶ + 6⁶ + 5⁶ .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 225365.

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 225365.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1577 + ... + 1713.

It is an arithmetic number, because the mean of its divisors is an integer number (19872).

2²²⁵³⁶⁵ is an apocalyptic number.

It is an amenable number.

225365 is a deficient number, since it is larger than the sum of its proper divisors (92587).

225365 is a wasteful number, since it uses less digits than its factorization.

225365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196.

The product of its digits is 1800, while the sum is 23.

The square root of 225365 is about 474.7262368987. The cubic root of 225365 is about 60.8548911315.

Adding to 225365 its reverse (563522), we get a palindrome (788887).

The spelling of 225365 in words is "two hundred twenty-five thousand, three hundred sixty-five".