13532 has 12 divisors (see below), whose sum is σ = 25200. Its totient is φ = 6336.

The previous prime is 13523. The next prime is 13537. The reversal of 13532 is 23531.

It is a d-powerful number, because it can be written as 1 + 3³ + 5⁵ + 3⁷ + 2¹³ .

It is a nialpdrome in base 7.

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, 32 + ... + 167.

It is an arithmetic number, because the mean of its divisors is an integer number (2100).

2¹³⁵³² is an apocalyptic number.

It is an amenable number.

13532 is a deficient number, since it is larger than the sum of its proper divisors (11668).

13532 is a wasteful number, since it uses less digits than its factorization.

13532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 218 counting only the distinct ones).

The product of its digits is 90, while the sum is 14.

The square root of 13532 is about 116.3271249537. The cubic root of 13532 is about 23.8298145761.

Subtracting 13532 from its reverse (23531), we obtain a palindrome (9999).

It can be divided in two parts, 13 and 532, that added together give a palindrome (545).

The spelling of 13532 in words is "thirteen thousand, five hundred thirty-two".