8164205009 has 2 divisors, whose sum is σ = 8164205010. Its totient is φ = 8164205008.

The previous prime is 8164205003. The next prime is 8164205011. The reversal of 8164205009 is 9005024618.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8149033984 + 15171025 = 90272^2 + 3895^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-8164205009 is a prime.

Together with 8164205011, it forms a pair of twin primes.

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 8164205009.

It is not a weakly prime, because it can be changed into another prime (8164205003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4082102504 + 4082102505.

It is an arithmetic number, because the mean of its divisors is an integer number (4082102505).

Almost surely, 2^8164205009 is an apocalyptic number.

It is an amenable number.

8164205009 is a deficient number, since it is larger than the sum of its proper divisors (1).

8164205009 is an equidigital number, since it uses as much as digits as its factorization.

8164205009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 8164205009 is about 90355.9904433569. The cubic root of 8164205009 is about 2013.5911814298.

The spelling of 8164205009 in words is "eight billion, one hundred sixty-four million, two hundred five thousand, nine".