225813 has 8 divisors (see below), whose sum is σ = 344128. Its totient is φ = 129024.

The previous prime is 225809. The next prime is 225821. The reversal of 225813 is 318522.

225813 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 225813 - 2² = 225809 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 10753 = 225813 / (2 + 2 + 5 + 8 + 1 + 3).

It is a d-powerful number, because it can be written as 2⁴ + 2⁸ + 8⁵ + 5⁶ + 1 + 3¹¹ .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 225813.

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 polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5356 + ... + 5397.

It is an arithmetic number, because the mean of its divisors is an integer number (43016).

2²²⁵⁸¹³ is an apocalyptic number.

It is an amenable number.

225813 is a deficient number, since it is larger than the sum of its proper divisors (118315).

225813 is a wasteful number, since it uses less digits than its factorization.

225813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10763.

The product of its digits is 480, while the sum is 21.

The square root of 225813 is about 475.1978535305. The cubic root of 225813 is about 60.8951886428.

The spelling of 225813 in words is "two hundred twenty-five thousand, eight hundred thirteen".