225363 has 8 divisors (see below), whose sum is σ = 307648. Its totient is φ = 146664.

The previous prime is 225353. The next prime is 225371. The reversal of 225363 is 363522.

225363 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 225363 - 2⁴ = 225347 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (225343) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 745 + ... + 1002.

It is an arithmetic number, because the mean of its divisors is an integer number (38456).

2²²⁵³⁶³ is an apocalyptic number.

225363 is a deficient number, since it is larger than the sum of its proper divisors (82285).

225363 is a wasteful number, since it uses less digits than its factorization.

225363 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1793.

The product of its digits is 1080, while the sum is 21.

The square root of 225363 is about 474.7241304168. The cubic root of 225363 is about 60.8547111122.

Adding to 225363 its reverse (363522), we get a palindrome (588885).

The spelling of 225363 in words is "two hundred twenty-five thousand, three hundred sixty-three".