225331 has 8 divisors (see below), whose sum is σ = 239904. Its totient is φ = 211200.

The previous prime is 225307. The next prime is 225341. The reversal of 225331 is 133522.

225331 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 a cyclic number.

It is not a de Polignac number, because 225331 - 2⁵ = 225299 is a prime.

It is a super-2 number, since 2×225331² = 101548119122, which contains 22 as substring.

It is a Duffinian number.

It is a zygodrome in base 6.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 2181 + ... + 2281.

It is an arithmetic number, because the mean of its divisors is an integer number (29988).

2²²⁵³³¹ is an apocalyptic number.

225331 is a deficient number, since it is larger than the sum of its proper divisors (14573).

225331 is a wasteful number, since it uses less digits than its factorization.

225331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221.

The product of its digits is 180, while the sum is 16.

The square root of 225331 is about 474.6904254354. The cubic root of 225331 is about 60.8518306587.

Adding to 225331 its reverse (133522), we get a palindrome (358853).

Subtracting from 225331 its reverse (133522), we obtain a square (91809 = 303²).

The spelling of 225331 in words is "two hundred twenty-five thousand, three hundred thirty-one".