23305 has 8 divisors (see below), whose sum is σ = 28800. Its totient is φ = 18096.

The previous prime is 23297. The next prime is 23311. The reversal of 23305 is 50332.

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 23305 - 2³ = 23297 is a prime.

It is a nialpdrome in base 8.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 256 + ... + 334.

It is an arithmetic number, because the mean of its divisors is an integer number (3600).

2²³³⁰⁵ is an apocalyptic number.

It is an amenable number.

23305 is a deficient number, since it is larger than the sum of its proper divisors (5495).

23305 is an equidigital number, since it uses as much as digits as its factorization.

23305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143.

The product of its (nonzero) digits is 90, while the sum is 13.

The square root of 23305 is about 152.6597523907. The cubic root of 23305 is about 28.5638253578.

Adding to 23305 its reverse (50332), we get a palindrome (73637).

The spelling of 23305 in words is "twenty-three thousand, three hundred five".