13335 has 16 divisors (see below), whose sum is σ = 24576. Its totient is φ = 6048.

The previous prime is 13331. The next prime is 13337. The reversal of 13335 is 53331.

13335 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 13335 - 2² = 13331 is a prime.

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

It is a nude number because it is divisible by every one of its digits.

13335 is a lucky number.

It is a plaindrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13331) 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, 42 + ... + 168.

It is an arithmetic number, because the mean of its divisors is an integer number (1536).

2¹³³³⁵ is an apocalyptic number.

13335 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13335 is a deficient number, since it is larger than the sum of its proper divisors (11241).

13335 is a wasteful number, since it uses less digits than its factorization.

13335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142.

The product of its digits is 135, while the sum is 15.

The square root of 13335 is about 115.4772704908. The cubic root of 13335 is about 23.7136100147.

Adding to 13335 its reverse (53331), we get a palindrome (66666).

The spelling of 13335 in words is "thirteen thousand, three hundred thirty-five".