223509 has 16 divisors (see below), whose sum is σ = 350784. Its totient is φ = 124800.

The previous prime is 223507. The next prime is 223529. The reversal of 223509 is 905322.

223509 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 223509 - 2¹ = 223507 is a prime.

It is a Curzon number.

223509 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223507) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169 + ... + 689.

It is an arithmetic number, because the mean of its divisors is an integer number (21924).

2²²³⁵⁰⁹ is an apocalyptic number.

It is an amenable number.

223509 is a deficient number, since it is larger than the sum of its proper divisors (127275).

223509 is a wasteful number, since it uses less digits than its factorization.

223509 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548.

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

The square root of 223509 is about 472.7673846618. The cubic root of 223509 is about 60.6873730121.

The spelling of 223509 in words is "two hundred twenty-three thousand, five hundred nine".