12819 has 4 divisors (see below), whose sum is σ = 17096. Its totient is φ = 8544.

The previous prime is 12809. The next prime is 12821. The reversal of 12819 is 91821.

12819 is nontrivially palindromic in base 2.

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

It is not a de Polignac number, because 12819 - 2¹¹ = 10771 is a prime.

It is a super-2 number, since 2×12819² = 328653522, which contains 22 as substring.

It is a D-number.

It is a Duffinian number.

12819 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 12795 and 12804.

It is not an unprimeable number, because it can be changed into a prime (12809) 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, 2134 + ... + 2139.

It is an arithmetic number, because the mean of its divisors is an integer number (4274).

2¹²⁸¹⁹ is an apocalyptic number.

12819 is a deficient number, since it is larger than the sum of its proper divisors (4277).

12819 is an equidigital number, since it uses as much as digits as its factorization.

12819 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4276.

The product of its digits is 144, while the sum is 21.

The square root of 12819 is about 113.2210227829. The cubic root of 12819 is about 23.4037104205.

The spelling of 12819 in words is "twelve thousand, eight hundred nineteen".