13533 has 8 divisors (see below), whose sum is σ = 19488. Its totient is φ = 8304.

The previous prime is 13523. The next prime is 13537. The reversal of 13533 is 33531.

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

It is not a de Polignac number, because 13533 - 2⁶ = 13469 is a prime.

It is an Ulam number.

It is a Curzon number.

13533 is a lucky number.

It is a plaindrome in base 16.

It is a nialpdrome in base 13.

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 7 ways as a sum of consecutive naturals, for example, 135 + ... + 212.

It is an arithmetic number, because the mean of its divisors is an integer number (2436).

2¹³⁵³³ is an apocalyptic number.

13533 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13533 is a deficient number, since it is larger than the sum of its proper divisors (5955).

13533 is a wasteful number, since it uses less digits than its factorization.

13533 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363.

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

The square root of 13533 is about 116.3314230980. The cubic root of 13533 is about 23.8304015607.

The spelling of 13533 in words is "thirteen thousand, five hundred thirty-three".