8006081 has 2 divisors, whose sum is σ = 8006082. Its totient is φ = 8006080.

The previous prime is 8006077. The next prime is 8006083. The reversal of 8006081 is 1806008.

8006081 is digitally balanced in base 3, 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., 7890481 + 115600 = 2809^2 + 340^2 .

It is a cyclic number.

It is not a de Polignac number, because 8006081 - 2² = 8006077 is a prime.

It is a super-2 number, since 2×8006081² = 128194665957122, which contains 22 as substring.

Together with 8006083, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (8006083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4003040 + 4003041.

It is an arithmetic number, because the mean of its divisors is an integer number (4003041).

Almost surely, 2^8006081 is an apocalyptic number.

It is an amenable number.

8006081 is a deficient number, since it is larger than the sum of its proper divisors (1).

8006081 is an equidigital number, since it uses as much as digits as its factorization.

8006081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 8006081 is about 2829.5018996283. The cubic root of 8006081 is about 200.0506621656.

The spelling of 8006081 in words is "eight million, six thousand, eighty-one".