13534 has 8 divisors (see below), whose sum is σ = 20808. Its totient is φ = 6600.

The previous prime is 13523. The next prime is 13537. The reversal of 13534 is 43531.

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

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 3 ways as a sum of consecutive naturals, for example, 84 + ... + 184.

It is an arithmetic number, because the mean of its divisors is an integer number (2601).

2¹³⁵³⁴ is an apocalyptic number.

13534 is a deficient number, since it is larger than the sum of its proper divisors (7274).

13534 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 7 representation: 13534 = (54313)₇.

13534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170.

The product of its digits is 180, while the sum is 16.

The square root of 13534 is about 116.3357210834. The cubic root of 13534 is about 23.8309885164.

It can be divided in two parts, 135 and 34, that added together give a square (169 = 13²).

The spelling of 13534 in words is "thirteen thousand, five hundred thirty-four".