6005309 has 2 divisors, whose sum is σ = 6005310. Its totient is φ = 6005308.

The previous prime is 6005303. The next prime is 6005327. The reversal of 6005309 is 9035006.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6002500 + 2809 = 2450^2 + 53^2 .

It is a cyclic number.

It is not a de Polignac number, because 6005309 - 2²⁰ = 4956733 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (6005303) 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, 3002654 + 3002655.

It is an arithmetic number, because the mean of its divisors is an integer number (3002655).

Almost surely, 2^6005309 is an apocalyptic number.

It is an amenable number.

6005309 is a deficient number, since it is larger than the sum of its proper divisors (1).

6005309 is an equidigital number, since it uses as much as digits as its factorization.

6005309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 810, while the sum is 23.

The square root of 6005309 is about 2450.5731982538. The cubic root of 6005309 is about 181.7656384458.

The spelling of 6005309 in words is "six million, five thousand, three hundred nine".