225583 has 2 divisors, whose sum is σ = 225584. Its totient is φ = 225582.

The previous prime is 225581. The next prime is 225601. The reversal of 225583 is 385522.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 225583 - 2¹ = 225581 is a prime.

Together with 225581, it forms a pair of twin primes.

It is a d-powerful number, because it can be written as 2 + 2⁴ + 5² + 5⁶ + 8⁵ + 3¹¹ .

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (225581) 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, 112791 + 112792.

It is an arithmetic number, because the mean of its divisors is an integer number (112792).

2²²⁵⁵⁸³ is an apocalyptic number.

225583 is a deficient number, since it is larger than the sum of its proper divisors (1).

225583 is an equidigital number, since it uses as much as digits as its factorization.

225583 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2400, while the sum is 25.

The square root of 225583 is about 474.9557874160. The cubic root of 225583 is about 60.8745068526.

It can be divided in two parts, 225 and 583, that added together give a palindrome (808).

The spelling of 225583 in words is "two hundred twenty-five thousand, five hundred eighty-three".