225613 has 2 divisors, whose sum is σ = 225614. Its totient is φ = 225612.

The previous prime is 225611. The next prime is 225619. The reversal of 225613 is 316522.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 161604 + 64009 = 402^2 + 253^2 .

It is a cyclic number.

It is not a de Polignac number, because 225613 - 2¹ = 225611 is a prime.

Together with 225611, it forms a pair of twin primes.

225613 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (225611) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 112806 + 112807.

It is an arithmetic number, because the mean of its divisors is an integer number (112807).

2²²⁵⁶¹³ is an apocalyptic number.

It is an amenable number.

225613 is a deficient number, since it is larger than the sum of its proper divisors (1).

225613 is an equidigital number, since it uses as much as digits as its factorization.

225613 is an evil number, because the sum of its binary digits is even.

The product of its digits is 360, while the sum is 19.

The square root of 225613 is about 474.9873682531. The cubic root of 225613 is about 60.8772052744.

Subtracting 225613 from its reverse (316522), we obtain a palindrome (90909).

It can be divided in two parts, 225 and 613, that added together give a palindrome (838).

The spelling of 225613 in words is "two hundred twenty-five thousand, six hundred thirteen".