8201009 has 2 divisors, whose sum is σ = 8201010. Its totient is φ = 8201008.

The previous prime is 8200991. The next prime is 8201033. The reversal of 8201009 is 9001028.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 4579600 + 3621409 = 2140^2 + 1903^2 .

It is a cyclic number.

It is not a de Polignac number, because 8201009 - 2¹⁶ = 8135473 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (8201509) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4100504 + 4100505.

It is an arithmetic number, because the mean of its divisors is an integer number (4100505).

Almost surely, 2^8201009 is an apocalyptic number.

It is an amenable number.

8201009 is a deficient number, since it is larger than the sum of its proper divisors (1).

8201009 is an equidigital number, since it uses as much as digits as its factorization.

8201009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 8201009 is about 2863.7403862781. The cubic root of 8201009 is about 201.6612382332.

The spelling of 8201009 in words is "eight million, two hundred one thousand, nine".