13538 has 8 divisors (see below), whose sum is σ = 23232. Its totient is φ = 5796.

The previous prime is 13537. The next prime is 13553. The reversal of 13538 is 83531.

13538 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a Curzon number.

It is a nialpdrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (13537) 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, 470 + ... + 497.

It is an arithmetic number, because the mean of its divisors is an integer number (2904).

2¹³⁵³⁸ is an apocalyptic number.

13538 is a deficient number, since it is larger than the sum of its proper divisors (9694).

13538 is an equidigital number, since it uses as much as digits as its factorization.

13538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976.

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

The square root of 13538 is about 116.3529114376. The cubic root of 13538 is about 23.8333360501.

The spelling of 13538 in words is "thirteen thousand, five hundred thirty-eight".