13365 has 24 divisors (see below), whose sum is σ = 26208. Its totient is φ = 6480.

The previous prime is 13339. The next prime is 13367. The reversal of 13365 is 56331.

Added to its reverse (56331) it gives a square (69696 = 264²).

13365 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13365 - 2⁸ = 13109 is a prime.

It is a Curzon number.

It is a plaindrome in base 12.

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1210 + ... + 1220.

It is an arithmetic number, because the mean of its divisors is an integer number (1092).

2¹³³⁶⁵ is an apocalyptic number.

13365 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13365 is a deficient number, since it is larger than the sum of its proper divisors (12843).

13365 is an equidigital number, since it uses as much as digits as its factorization.

13365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31 (or 19 counting only the distinct ones).

The product of its digits is 270, while the sum is 18.

The square root of 13365 is about 115.6070932080. The cubic root of 13365 is about 23.7313796804.

Adding to 13365 its reverse (56331), we get a palindrome (69696).

It can be divided in two parts, 13 and 365, that added together give a triangular number (378 = T₂₇).

The spelling of 13365 in words is "thirteen thousand, three hundred sixty-five".