23505 has 8 divisors (see below), whose sum is σ = 37632. Its totient is φ = 12528.

The previous prime is 23497. The next prime is 23509. The reversal of 23505 is 50532.

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

It is not a de Polignac number, because 23505 - 2³ = 23497 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15), and also a Moran number because the ratio is a prime number: 1567 = 23505 / (2 + 3 + 5 + 0 + 5).

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (23509) 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, 769 + ... + 798.

It is an arithmetic number, because the mean of its divisors is an integer number (4704).

2²³⁵⁰⁵ is an apocalyptic number.

It is an amenable number.

23505 is a deficient number, since it is larger than the sum of its proper divisors (14127).

23505 is a wasteful number, since it uses less digits than its factorization.

23505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1575.

The product of its (nonzero) digits is 150, while the sum is 15.

The square root of 23505 is about 153.3134045020. The cubic root of 23505 is about 28.6453028736.

It can be divided in two parts, 23 and 505, that added together give a triangular number (528 = T₃₂).

The spelling of 23505 in words is "twenty-three thousand, five hundred five".