13580865 has 20 divisors (see below), whose sum is σ = 24345684. Its totient is φ = 7242912.

The previous prime is 13580783. The next prime is 13580869. The reversal of 13580865 is 56808531.

13580865 is a `hidden beast` number, since 13 + 580 + 8 + 65 = 666.

13580865 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 7935489 + 5645376 = 2817^2 + 2376^2 .

It is not a de Polignac number, because 13580865 - 2⁷ = 13580737 is a prime.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (13580869) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16362 + ... + 17171.

Almost surely, 2^13580865 is an apocalyptic number.

13580865 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13580865 is a deficient number, since it is larger than the sum of its proper divisors (10764819).

13580865 is an equidigital number, since it uses as much as digits as its factorization.

13580865 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33550 (or 33541 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 13580865 is about 3685.2225170266. Note that the first 3 decimals coincide. The cubic root of 13580865 is about 238.5846382882.

The spelling of 13580865 in words is "thirteen million, five hundred eighty thousand, eight hundred sixty-five".