13065 has 16 divisors (see below), whose sum is σ = 22848. Its totient is φ = 6336.

The previous prime is 13063. The next prime is 13093. The reversal of 13065 is 56031.

13065 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13065 - 2¹ = 13063 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

13065 is strictly pandigital in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13063) 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, 162 + ... + 228.

It is an arithmetic number, because the mean of its divisors is an integer number (1428).

13065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13065 is a deficient number, since it is larger than the sum of its proper divisors (9783).

13065 is a wasteful number, since it uses less digits than its factorization.

13065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88.

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 13065 is about 114.3022309494. The cubic root of 13065 is about 23.5524706546.

Adding to 13065 its reverse (56031), we get a palindrome (69096).

The spelling of 13065 in words is "thirteen thousand, sixty-five".