225309 has 8 divisors (see below), whose sum is σ = 343360. Its totient is φ = 128736.

The previous prime is 225307. The next prime is 225341. The reversal of 225309 is 903522.

225309 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 225309 - 2¹ = 225307 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: 10729 = 225309 / (2 + 2 + 5 + 3 + 0 + 9).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225307) 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, 5344 + ... + 5385.

It is an arithmetic number, because the mean of its divisors is an integer number (42920).

2²²⁵³⁰⁹ is an apocalyptic number.

It is an amenable number.

225309 is a deficient number, since it is larger than the sum of its proper divisors (118051).

225309 is a wasteful number, since it uses less digits than its factorization.

225309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10739.

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 225309 is about 474.6672518723. The cubic root of 225309 is about 60.8498501887.

The spelling of 225309 in words is "two hundred twenty-five thousand, three hundred nine".