19719 has 12 divisors (see below), whose sum is σ = 32656. Its totient is φ = 11232.

The previous prime is 19717. The next prime is 19727. The reversal of 19719 is 91791.

It is not a de Polignac number, because 19719 - 2¹ = 19717 is a prime.

It is a super-2 number, since 2×19719² = 777677922, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a Duffinian number.

19719 is a lucky number.

It is a plaindrome in base 5.

It is a junction number, because it is equal to n+sod(n) for n = 19692 and 19701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19717) by changing a digit.

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 in 11 ways as a sum of consecutive naturals, for example, 94 + ... + 219.

2¹⁹⁷¹⁹ is an apocalyptic number.

19719 is a deficient number, since it is larger than the sum of its proper divisors (12937).

19719 is a wasteful number, since it uses less digits than its factorization.

19719 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 323 counting only the distinct ones).

The product of its digits is 567, while the sum is 27.

The square root of 19719 is about 140.4243568616. The cubic root of 19719 is about 27.0164508799.

It can be divided in two parts, 197 and 19, that added together give a cube (216 = 6³).

The spelling of 19719 in words is "nineteen thousand, seven hundred nineteen".