806009 has 2 divisors, whose sum is σ = 806010. Its totient is φ = 806008.

The previous prime is 805991. The next prime is 806011. The reversal of 806009 is 900608.

806009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 727609 + 78400 = 853^2 + 280^2 .

It is a cyclic number.

It is not a de Polignac number, because 806009 - 2¹⁶ = 740473 is a prime.

It is a Sophie Germain prime.

Together with 806011, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (806059) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 403004 + 403005.

It is an arithmetic number, because the mean of its divisors is an integer number (403005).

2⁸⁰⁶⁰⁰⁹ is an apocalyptic number.

It is an amenable number.

806009 is a deficient number, since it is larger than the sum of its proper divisors (1).

806009 is an equidigital number, since it uses as much as digits as its factorization.

806009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 806009 is about 897.7800398761. The cubic root of 806009 is about 93.0636247089.

The spelling of 806009 in words is "eight hundred six thousand, nine".