225663 has 16 divisors (see below), whose sum is σ = 328320. Its totient is φ = 137376.

The previous prime is 225637. The next prime is 225671. The reversal of 225663 is 366522.

It is not a de Polignac number, because 225663 - 2¹² = 221567 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225613) 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 15 ways as a sum of consecutive naturals, for example, 2056 + ... + 2162.

It is an arithmetic number, because the mean of its divisors is an integer number (20520).

2²²⁵⁶⁶³ is an apocalyptic number.

225663 is a deficient number, since it is larger than the sum of its proper divisors (102657).

225663 is a wasteful number, since it uses less digits than its factorization.

225663 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166.

The product of its digits is 2160, while the sum is 24.

The square root of 225663 is about 475.0399983159. The cubic root of 225663 is about 60.8817021125.

It can be divided in two parts, 225 and 663, that added together give a palindrome (888).

The spelling of 225663 in words is "two hundred twenty-five thousand, six hundred sixty-three".