13635 has 16 divisors (see below), whose sum is σ = 24480. Its totient is φ = 7200.

The previous prime is 13633. The next prime is 13649. The reversal of 13635 is 53631.

13635 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 13635 - 2¹ = 13633 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13633) 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, 85 + ... + 185.

It is an arithmetic number, because the mean of its divisors is an integer number (1530).

2¹³⁶³⁵ is an apocalyptic number.

13635 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13635 is a deficient number, since it is larger than the sum of its proper divisors (10845).

13635 is a wasteful number, since it uses less digits than its factorization.

13635 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 109 counting only the distinct ones).

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

The square root of 13635 is about 116.7690027362. The cubic root of 13635 is about 23.8901227254.

It can be divided in two parts, 136 and 35, that added together give a palindrome (171).

The spelling of 13635 in words is "thirteen thousand, six hundred thirty-five".