23565 has 8 divisors (see below), whose sum is σ = 37728. Its totient is φ = 12560.

The previous prime is 23563. The next prime is 23567. The reversal of 23565 is 56532.

It is an interprime number because it is at equal distance from previous prime (23563) and next prime (23567).

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

It is not a de Polignac number, because 23565 - 2¹ = 23563 is a prime.

23565 is a lucky number.

It is a plaindrome in base 12.

It is a nialpdrome in base 14.

It is a zygodrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23561) by changing a digit.

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, 771 + ... + 800.

It is an arithmetic number, because the mean of its divisors is an integer number (4716).

2²³⁵⁶⁵ is an apocalyptic number.

It is an amenable number.

23565 is a deficient number, since it is larger than the sum of its proper divisors (14163).

23565 is a wasteful number, since it uses less digits than its factorization.

23565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1579.

The product of its digits is 900, while the sum is 21.

The square root of 23565 is about 153.5089573934. The cubic root of 23565 is about 28.6696559589.

It can be divided in two parts, 235 and 65, that added together give a triangular number (300 = T₂₄).

The spelling of 23565 in words is "twenty-three thousand, five hundred sixty-five".