225506 has 8 divisors (see below), whose sum is σ = 345600. Its totient is φ = 110308.

The previous prime is 225503. The next prime is 225509. The reversal of 225506 is 605522.

It is a happy number.

225506 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 (225503) and next prime (225509).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 225506.

It is not an unprimeable number, because it can be changed into a prime (225503) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1106 + ... + 1293.

It is an arithmetic number, because the mean of its divisors is an integer number (43200).

2²²⁵⁵⁰⁶ is an apocalyptic number.

225506 is a deficient number, since it is larger than the sum of its proper divisors (120094).

225506 is a wasteful number, since it uses less digits than its factorization.

225506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2448.

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 225506 is about 474.8747203211. The cubic root of 225506 is about 60.8675798081.

The spelling of 225506 in words is "two hundred twenty-five thousand, five hundred six".