23309 has 8 divisors (see below), whose sum is σ = 27552. Its totient is φ = 19440.

The previous prime is 23297. The next prime is 23311. The reversal of 23309 is 90332.

23309 = 5³ + 6³ + ... + 17³.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 23309 - 2⁴ = 23293 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23339) 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, 62 + ... + 224.

It is an arithmetic number, because the mean of its divisors is an integer number (3444).

2²³³⁰⁹ is an apocalyptic number.

It is an amenable number.

23309 is a deficient number, since it is larger than the sum of its proper divisors (4243).

23309 is a wasteful number, since it uses less digits than its factorization.

23309 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187.

The product of its (nonzero) digits is 162, while the sum is 17.

The square root of 23309 is about 152.6728528587. The cubic root of 23309 is about 28.5654594673.

The spelling of 23309 in words is "twenty-three thousand, three hundred nine".