225153 has 16 divisors (see below), whose sum is σ = 345600. Its totient is φ = 144720.

The previous prime is 225149. The next prime is 225157. The reversal of 225153 is 351522.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (225149) and next prime (225157).

It is not a de Polignac number, because 225153 - 2² = 225149 is a prime.

225153 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (225157) 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, 703 + ... + 971.

It is an arithmetic number, because the mean of its divisors is an integer number (21600).

2²²⁵¹⁵³ is an apocalyptic number.

It is an amenable number.

225153 is a deficient number, since it is larger than the sum of its proper divisors (120447).

225153 is a wasteful number, since it uses less digits than its factorization.

225153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 303 counting only the distinct ones).

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

The square root of 225153 is about 474.5028977783. The cubic root of 225153 is about 60.8358031565.

Adding to 225153 its reverse (351522), we get a palindrome (576675).

It can be divided in two parts, 2251 and 53, that added together give a square (2304 = 48²).

The spelling of 225153 in words is "two hundred twenty-five thousand, one hundred fifty-three".