225321 has 16 divisors (see below), whose sum is σ = 326400. Its totient is φ = 137808.

The previous prime is 225307. The next prime is 225341. The reversal of 225321 is 123522.

It is not a de Polignac number, because 225321 - 2⁵ = 225289 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 225321.

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 225321.

It is not an unprimeable number, because it can be changed into a prime (225341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3330 + ... + 3396.

It is an arithmetic number, because the mean of its divisors is an integer number (20400).

2²²⁵³²¹ is an apocalyptic number.

It is an amenable number.

225321 is a deficient number, since it is larger than the sum of its proper divisors (101079).

225321 is a wasteful number, since it uses less digits than its factorization.

225321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148.

The product of its digits is 120, while the sum is 15.

The square root of 225321 is about 474.6798921378. The cubic root of 225321 is about 60.8509304610.

Adding to 225321 its reverse (123522), we get a palindrome (348843).

The spelling of 225321 in words is "two hundred twenty-five thousand, three hundred twenty-one".