13535 has 4 divisors (see below), whose sum is σ = 16248. Its totient is φ = 10824.

The previous prime is 13523. The next prime is 13537. The reversal of 13535 is 53531.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 53531 = 199 ⋅269.

It is a cyclic number.

It is not a de Polignac number, because 13535 - 2¹⁰ = 12511 is a prime.

It is a Duffinian number.

It is a plaindrome in base 12 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13537) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1349 + ... + 1358.

It is an arithmetic number, because the mean of its divisors is an integer number (4062).

2¹³⁵³⁵ is an apocalyptic number.

13535 is a deficient number, since it is larger than the sum of its proper divisors (2713).

13535 is an equidigital number, since it uses as much as digits as its factorization.

13535 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2712.

The product of its digits is 225, while the sum is 17.

The square root of 13535 is about 116.3400189101. The cubic root of 13535 is about 23.8315754432.

The spelling of 13535 in words is "thirteen thousand, five hundred thirty-five".