13744 has 10 divisors (see below), whose sum is σ = 26660. Its totient is φ = 6864.

The previous prime is 13729. The next prime is 13751. The reversal of 13744 is 44731.

It is a happy number.

13744 is nontrivially palindromic in base 15.

13744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

13744 is an untouchable number, because it is not equal to the sum of proper divisors of any 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, 414 + ... + 445.

It is an arithmetic number, because the mean of its divisors is an integer number (2666).

2¹³⁷⁴⁴ is an apocalyptic number.

It is an amenable number.

13744 is a deficient number, since it is larger than the sum of its proper divisors (12916).

13744 is an equidigital number, since it uses as much as digits as its factorization.

13744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867 (or 861 counting only the distinct ones).

The product of its digits is 336, while the sum is 19.

The square root of 13744 is about 117.2348071180. The cubic root of 13744 is about 23.9536141093.

It can be divided in two parts, 1374 and 4, that added together give a triangular number (1378 = T₅₂).

The spelling of 13744 in words is "thirteen thousand, seven hundred forty-four".