225606 has 16 divisors (see below), whose sum is σ = 475200. Its totient is φ = 71208.

The previous prime is 225601. The next prime is 225611. The reversal of 225606 is 606522.

225606 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (225601) and next prime (225611).

It is a plaindrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225601) by changing a digit.

225606 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 876 + ... + 1103.

It is an arithmetic number, because the mean of its divisors is an integer number (29700).

2²²⁵⁶⁰⁶ is an apocalyptic number.

225606 is an abundant number, since it is smaller than the sum of its proper divisors (249594).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

225606 is a wasteful number, since it uses less digits than its factorization.

225606 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2003.

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 225606 is about 474.9799995789. The cubic root of 225606 is about 60.8765756640.

The spelling of 225606 in words is "two hundred twenty-five thousand, six hundred six".