225823 has 8 divisors (see below), whose sum is σ = 252000. Its totient is φ = 200928.

The previous prime is 225821. The next prime is 225829. The reversal of 225823 is 328522.

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

It is not a de Polignac number, because 225823 - 2¹ = 225821 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 225794 and 225803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225821) 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 7 ways as a sum of consecutive naturals, for example, 78 + ... + 676.

It is an arithmetic number, because the mean of its divisors is an integer number (31500).

2²²⁵⁸²³ is an apocalyptic number.

225823 is a deficient number, since it is larger than the sum of its proper divisors (26177).

225823 is a wasteful number, since it uses less digits than its factorization.

225823 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641.

The product of its digits is 960, while the sum is 22.

The square root of 225823 is about 475.2083753471. The cubic root of 225823 is about 60.8960875324.

The spelling of 225823 in words is "two hundred twenty-five thousand, eight hundred twenty-three".