11765 has 8 divisors (see below), whose sum is σ = 15288. Its totient is φ = 8640.

The previous prime is 11743. The next prime is 11777. The reversal of 11765 is 56711.

11765 is digitally balanced in base 3 and base 6, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 529 + 11236 = 23^2 + 106^2 .

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

It is not a de Polignac number, because 11765 - 2⁶ = 11701 is a prime.

11765 is strictly pandigital in base 6.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26 + ... + 155.

It is an arithmetic number, because the mean of its divisors is an integer number (1911).

2¹¹⁷⁶⁵ is an apocalyptic number.

It is an amenable number.

11765 is a deficient number, since it is larger than the sum of its proper divisors (3523).

11765 is a wasteful number, since it uses less digits than its factorization.

11765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199.

The product of its digits is 210, while the sum is 20.

The square root of 11765 is about 108.4665847162. The cubic root of 11765 is about 22.7438497242.

The spelling of 11765 in words is "eleven thousand, seven hundred sixty-five".