13395 has 16 divisors (see below), whose sum is σ = 23040. Its totient is φ = 6624.

The previous prime is 13381. The next prime is 13397. The reversal of 13395 is 59331.

13395 = T₅₀ + T₅₁ + ... + T₅₈.

13395 is nontrivially palindromic in base 8.

13395 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

13395 is an esthetic number in base 8, because in such base its adjacent digits differ by 1.

It is not a de Polignac number, because 13395 - 2⁶ = 13331 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13397) 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 15 ways as a sum of consecutive naturals, for example, 262 + ... + 308.

It is an arithmetic number, because the mean of its divisors is an integer number (1440).

2¹³³⁹⁵ is an apocalyptic number.

13395 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13395 is a deficient number, since it is larger than the sum of its proper divisors (9645).

13395 is a wasteful number, since it uses less digits than its factorization.

13395 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74.

The product of its digits is 405, while the sum is 21.

The square root of 13395 is about 115.7367703023. The cubic root of 13395 is about 23.7491227746.

The spelling of 13395 in words is "thirteen thousand, three hundred ninety-five".