225523 has 2 divisors, whose sum is σ = 225524. Its totient is φ = 225522.

The previous prime is 225509. The next prime is 225527. The reversal of 225523 is 325522.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-225523 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 225523.

It is not a weakly prime, because it can be changed into another prime (225527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 112761 + 112762.

It is an arithmetic number, because the mean of its divisors is an integer number (112762).

2²²⁵⁵²³ is an apocalyptic number.

225523 is a deficient number, since it is larger than the sum of its proper divisors (1).

225523 is an equidigital number, since it uses as much as digits as its factorization.

225523 is an odious number, because the sum of its binary digits is odd.

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

The square root of 225523 is about 474.8926194415. The cubic root of 225523 is about 60.8691092912.

Subtracting 225523 from its reverse (325522), we obtain a palindrome (99999).

It can be divided in two parts, 2255 and 23, that added together give a triangular number (2278 = T₆₇).

The spelling of 225523 in words is "two hundred twenty-five thousand, five hundred twenty-three".