20319 has 8 divisors (see below), whose sum is σ = 29232. Its totient is φ = 12480.

The previous prime is 20297. The next prime is 20323. The reversal of 20319 is 91302.

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

It is not a de Polignac number, because 20319 - 2⁵ = 20287 is a prime.

It is a super-2 number, since 2×20319² = 825723522, which contains 22 as substring.

It is a Smith number, since the sum of its digits (15) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

20319 is a lucky number.

It is a plaindrome in base 5.

It is a nialpdrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 20298 and 20307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 222 + ... + 299.

It is an arithmetic number, because the mean of its divisors is an integer number (3654).

2²⁰³¹⁹ is an apocalyptic number.

20319 is a deficient number, since it is larger than the sum of its proper divisors (8913).

20319 is a wasteful number, since it uses less digits than its factorization.

20319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537.

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 20319 is about 142.5447298219. The cubic root of 20319 is about 27.2877321472.

It can be divided in two parts, 203 and 19, that added together give a palindrome (222).

The spelling of 20319 in words is "twenty thousand, three hundred nineteen".