13747 has 4 divisors (see below), whose sum is σ = 14040. Its totient is φ = 13456.

The previous prime is 13729. The next prime is 13751. The reversal of 13747 is 74731.

13747 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes.

It is a 4-Lehmer number, since φ(13747) divides (13747-1)⁴.

It is a cyclic number.

It is not a de Polignac number, because 13747 - 2⁷ = 13619 is a prime.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13757) 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, 58 + ... + 175.

It is an arithmetic number, because the mean of its divisors is an integer number (3510).

It is a Poulet number, since it divides 2¹³⁷⁴⁶-1.

2¹³⁷⁴⁷ is an apocalyptic number.

13747 is the 59-th decagonal number.

13747 is a deficient number, since it is larger than the sum of its proper divisors (293).

13747 is an equidigital number, since it uses as much as digits as its factorization.

13747 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292.

The product of its digits is 588, while the sum is 22.

The square root of 13747 is about 117.2476012548. The cubic root of 13747 is about 23.9553568241.

The spelling of 13747 in words is "thirteen thousand, seven hundred forty-seven".