13719 has 8 divisors (see below), whose sum is σ = 19440. Its totient is φ = 8576.

The previous prime is 13711. The next prime is 13721. The reversal of 13719 is 91731.

13719 is nontrivially palindromic in base 4.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13719 - 2³ = 13711 is a prime.

It is a super-2 number, since 2×13719² = 376421922, which contains 22 as substring.

It is an Ulam number.

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 13695 and 13704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13711) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84 + ... + 185.

It is an arithmetic number, because the mean of its divisors is an integer number (2430).

2¹³⁷¹⁹ is an apocalyptic number.

13719 is a deficient number, since it is larger than the sum of its proper divisors (5721).

13719 is a wasteful number, since it uses less digits than its factorization.

13719 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289.

The product of its digits is 189, while the sum is 21.

The square root of 13719 is about 117.1281349634. The cubic root of 13719 is about 23.9390816149.

Subtracting from 13719 its product of digits (189), we obtain a triangular number (13530 = T₁₆₄).

The spelling of 13719 in words is "thirteen thousand, seven hundred nineteen".