225351 has 24 divisors (see below), whose sum is σ = 384800. Its totient is φ = 127008.

The previous prime is 225349. The next prime is 225353. The reversal of 225351 is 153522.

It is a happy number.

225351 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (225349) and next prime (225353).

It is not a de Polignac number, because 225351 - 2¹ = 225349 is a prime.

It is a Duffinian number.

Its product of digits (300) is a multiple of the sum of its prime factors (100).

225351 is a lucky number.

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 225351.

It is not an unprimeable number, because it can be changed into a prime (225353) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3051 + ... + 3123.

2²²⁵³⁵¹ is an apocalyptic number.

225351 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

225351 is a deficient number, since it is larger than the sum of its proper divisors (159449).

225351 is an equidigital number, since it uses as much as digits as its factorization.

225351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 83 counting only the distinct ones).

The product of its digits is 300, while the sum is 18.

The square root of 225351 is about 474.7114913292. The cubic root of 225351 is about 60.8536309741.

Adding to 225351 its reverse (153522), we get a palindrome (378873).

It can be divided in two parts, 2253 and 51, that added together give a square (2304 = 48²).

The spelling of 225351 in words is "two hundred twenty-five thousand, three hundred fifty-one".