225253 has 6 divisors (see below), whose sum is σ = 262086. Its totient is φ = 193032.

The previous prime is 225241. The next prime is 225257. The reversal of 225253 is 352522.

It can be written as a sum of positive squares in only one way, i.e., 142884 + 82369 = 378^2 + 287^2 .

It is not a de Polignac number, because 225253 - 2⁵ = 225221 is a prime.

It is a d-powerful number, because it can be written as 2⁸ + 2¹⁰ + 2¹⁶ + 5⁷ + 5⁷ + 3⁷ .

It is a Duffinian number.

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 225253.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2250 + ... + 2347.

It is an arithmetic number, because the mean of its divisors is an integer number (43681).

2²²⁵²⁵³ is an apocalyptic number.

It is an amenable number.

225253 is a deficient number, since it is larger than the sum of its proper divisors (36833).

225253 is an equidigital number, since it uses as much as digits as its factorization.

225253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4611 (or 4604 counting only the distinct ones).

The product of its digits is 600, while the sum is 19.

The square root of 225253 is about 474.6082595152. The cubic root of 225253 is about 60.8448084106.

Adding to 225253 its reverse (352522), we get a palindrome (577775).

The spelling of 225253 in words is "two hundred twenty-five thousand, two hundred fifty-three".