13835 has 4 divisors (see below), whose sum is σ = 16608. Its totient is φ = 11064.

The previous prime is 13831. The next prime is 13841. The reversal of 13835 is 53831.

13835 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 13835 - 2² = 13831 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13831) 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 3 ways as a sum of consecutive naturals, for example, 1379 + ... + 1388.

It is an arithmetic number, because the mean of its divisors is an integer number (4152).

2¹³⁸³⁵ is an apocalyptic number.

13835 is a deficient number, since it is larger than the sum of its proper divisors (2773).

13835 is an equidigital number, since it uses as much as digits as its factorization.

13835 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2772.

The product of its digits is 360, while the sum is 20.

The square root of 13835 is about 117.6222768016. The cubic root of 13835 is about 24.0063640530.

It can be divided in two parts, 13 and 835, that added together give a palindrome (848).

The spelling of 13835 in words is "thirteen thousand, eight hundred thirty-five".