13185765 has 24 divisors (see below), whose sum is σ = 23182848. Its totient is φ = 6931680.

The previous prime is 13185763. The next prime is 13185769. The reversal of 13185765 is 56758131.

13185765 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13185765 - 2¹ = 13185763 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13185763) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1132 + ... + 5258.

It is an arithmetic number, because the mean of its divisors is an integer number (965952).

Almost surely, 2^13185765 is an apocalyptic number.

13185765 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13185765 is a deficient number, since it is larger than the sum of its proper divisors (9997083).

13185765 is a wasteful number, since it uses less digits than its factorization.

13185765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4209 (or 4206 counting only the distinct ones).

The product of its digits is 25200, while the sum is 36.

The square root of 13185765 is about 3631.2208690742. The cubic root of 13185765 is about 236.2481649307.

The spelling of 13185765 in words is "thirteen million, one hundred eighty-five thousand, seven hundred sixty-five".