23765 has 12 divisors (see below), whose sum is σ = 33516. Its totient is φ = 16128.

The previous prime is 23761. The next prime is 23767. The reversal of 23765 is 56732.

23765 = 88² + 89² + 90².

23765 is an esthetic number in base 3, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 2 ways, for example, as 9604 + 14161 = 98^2 + 119^2 .

It is not a de Polignac number, because 23765 - 2² = 23761 is a prime.

It is a nialpdrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 23765.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23761) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 197 + ... + 293.

It is an arithmetic number, because the mean of its divisors is an integer number (2793).

2²³⁷⁶⁵ is an apocalyptic number.

It is an amenable number.

23765 is a deficient number, since it is larger than the sum of its proper divisors (9751).

23765 is an equidigital number, since it uses as much as digits as its factorization.

23765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 109 counting only the distinct ones).

The product of its digits is 1260, while the sum is 23.

The square root of 23765 is about 154.1590088188. The cubic root of 23765 is about 28.7505355918.

The spelling of 23765 in words is "twenty-three thousand, seven hundred sixty-five".