13724 has 12 divisors (see below), whose sum is σ = 24864. Its totient is φ = 6624.

The previous prime is 13723. The next prime is 13729. The reversal of 13724 is 42731.

It is a happy number.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13721) 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, 152 + ... + 224.

It is an arithmetic number, because the mean of its divisors is an integer number (2072).

2¹³⁷²⁴ is an apocalyptic number.

It is an amenable number.

13724 is a deficient number, since it is larger than the sum of its proper divisors (11140).

13724 is a wasteful number, since it uses less digits than its factorization.

13724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 122 counting only the distinct ones).

The product of its digits is 168, while the sum is 17.

The square root of 13724 is about 117.1494771649. The cubic root of 13724 is about 23.9419895253.

It can be divided in two parts, 137 and 24, that added together give a palindrome (161).

The spelling of 13724 in words is "thirteen thousand, seven hundred twenty-four".