2819 has 2 divisors, whose sum is σ = 2820.
Its totient is φ = 2818.
The previous prime is 2803. The next prime is 2833. The reversal of 2819 is 9182.
It is a strong prime.
It is a cyclic number.
It is not a de Polignac number, because 2819 - 24 = 2803 is a prime.
It is a super-2 number, since 2×28192 = 15893522, which contains 22 as substring.
It is a Sophie Germain prime.
It is a plaindrome in base 7 and base 13.
It is a self number, because there is not a number n which added to its sum of digits gives 2819.
It is not a weakly prime, because it can be changed into another prime (2879) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (5) of ones.
It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1409 + 1410.
It is an arithmetic number, because the mean of its divisors is an integer number (1410).
22819 is an apocalyptic number.
2819 is a deficient number, since it is larger than the sum of its proper divisors (1).
2819 is an equidigital number, since it uses as much as digits as its factorization.
2819 is an odious number, because the sum of its binary digits is odd.
The product of its digits is 144, while the sum is 20.
The square root of 2819 is about 53.0942558098.
The cubic root of 2819 is about 14.1264062609.
The spelling of 2819 in words is "two thousand, eight hundred nineteen".