13680165 has 16 divisors (see below), whose sum is σ = 22248576. Its totient is φ = 7176000.

The previous prime is 13680113. The next prime is 13680167. The reversal of 13680165 is 56108631.

13680165 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 13680165 - 2¹⁴ = 13663781 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13680167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6561 + ... + 8390.

It is an arithmetic number, because the mean of its divisors is an integer number (1390536).

Almost surely, 2^13680165 is an apocalyptic number.

13680165 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13680165 is a deficient number, since it is larger than the sum of its proper divisors (8568411).

13680165 is a wasteful number, since it uses less digits than its factorization.

13680165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15020.

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 13680165 is about 3698.6707071595. The cubic root of 13680165 is about 239.1647178324.

Adding to 13680165 its reverse (56108631), we get a palindrome (69788796).

The spelling of 13680165 in words is "thirteen million, six hundred eighty thousand, one hundred sixty-five".