13732 has 6 divisors (see below), whose sum is σ = 24038. Its totient is φ = 6864.

The previous prime is 13729. The next prime is 13751. The reversal of 13732 is 23731.

13732 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 10816 + 2916 = 104^2 + 54^2 .

It is a congruent number.

It is an unprimeable number.

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 as a sum of consecutive naturals, namely, 1713 + ... + 1720.

2¹³⁷³² is an apocalyptic number.

It is an amenable number.

13732 is a deficient number, since it is larger than the sum of its proper divisors (10306).

13732 is a wasteful number, since it uses less digits than its factorization.

13732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3437 (or 3435 counting only the distinct ones).

The product of its digits is 126, while the sum is 16.

The square root of 13732 is about 117.1836166023. The cubic root of 13732 is about 23.9466407133.

Subtracting 13732 from its reverse (23731), we obtain a palindrome (9999).

It can be divided in two parts, 137 and 32, that added together give a square (169 = 13²).

The spelling of 13732 in words is "thirteen thousand, seven hundred thirty-two".