225567 has 12 divisors (see below), whose sum is σ = 331344. Its totient is φ = 147840.

The previous prime is 225529. The next prime is 225569. The reversal of 225567 is 765522.

It is not a de Polignac number, because 225567 - 2⁶ = 225503 is a prime.

It is a plaindrome in base 10.

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 225567.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225569) 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 in 11 ways as a sum of consecutive naturals, for example, 463 + ... + 815.

It is an arithmetic number, because the mean of its divisors is an integer number (27612).

2²²⁵⁵⁶⁷ is an apocalyptic number.

225567 is a deficient number, since it is larger than the sum of its proper divisors (105777).

225567 is a wasteful number, since it uses less digits than its factorization.

225567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 427 counting only the distinct ones).

The product of its digits is 4200, while the sum is 27.

The square root of 225567 is about 474.9389434443. The cubic root of 225567 is about 60.8730675965.

The spelling of 225567 in words is "two hundred twenty-five thousand, five hundred sixty-seven".