2012819 has 2 divisors, whose sum is σ = 2012820. Its totient is φ = 2012818.

The previous prime is 2012807. The next prime is 2012821. The reversal of 2012819 is 9182102.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2012819 is a prime.

It is a super-2 number, since 2×2012819² = 8102880653522, which contains 22 as substring.

Together with 2012821, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 2012794 and 2012803.

It is not a weakly prime, because it can be changed into another prime (2012839) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006409 + 1006410.

It is an arithmetic number, because the mean of its divisors is an integer number (1006410).

2^2012819 is an apocalyptic number.

2012819 is a deficient number, since it is larger than the sum of its proper divisors (1).

2012819 is an equidigital number, since it uses as much as digits as its factorization.

2012819 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 23.

The square root of 2012819 is about 1418.7385241827. The cubic root of 2012819 is about 126.2607140533.

The spelling of 2012819 in words is "two million, twelve thousand, eight hundred nineteen".