3005966309 has 6 divisors (see below), whose sum is σ = 3016781010. Its totient is φ = 2995190240.

The previous prime is 3005966267. The next prime is 3005966329. The reversal of 3005966309 is 9036695003.

It can be written as a sum of positive squares in 3 ways, for example, as 1076824225 + 1929142084 = 32815^2 + 43922^2 .

It is not a de Polignac number, because 3005966309 - 2⁸ = 3005966053 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3005966329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 59927 + ... + 97995.

It is an arithmetic number, because the mean of its divisors is an integer number (502796835).

Almost surely, 2^3005966309 is an apocalyptic number.

It is an amenable number.

3005966309 is a deficient number, since it is larger than the sum of its proper divisors (10814701).

3005966309 is an frugal number, since it uses more digits than its factorization.

3005966309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38631 (or 38350 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 41.

The square root of 3005966309 is about 54826.6933983803. The cubic root of 3005966309 is about 1443.2050379178.

The spelling of 3005966309 in words is "three billion, five million, nine hundred sixty-six thousand, three hundred nine".