2005319 has 2 divisors, whose sum is σ = 2005320. Its totient is φ = 2005318.

The previous prime is 2005277. The next prime is 2005331. The reversal of 2005319 is 9135002.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2005319 is a prime.

It is a super-2 number, since 2×2005319² = 8042608583522, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2005319.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2005369) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1002659 + 1002660.

It is an arithmetic number, because the mean of its divisors is an integer number (1002660).

2^2005319 is an apocalyptic number.

2005319 is a deficient number, since it is larger than the sum of its proper divisors (1).

2005319 is an equidigital number, since it uses as much as digits as its factorization.

2005319 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 270, while the sum is 20.

The square root of 2005319 is about 1416.0928641865. The cubic root of 2005319 is about 126.1036981216.

The spelling of 2005319 in words is "two million, five thousand, three hundred nineteen".