8008081 has 2 divisors, whose sum is σ = 8008082. Its totient is φ = 8008080.

The previous prime is 8008009. The next prime is 8008093. The reversal of 8008081 is 1808008.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5499025 + 2509056 = 2345^2 + 1584^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-8008081 is a prime.

It is a super-2 number, since 2×8008081² = 128258722605122, which contains 22 as substring.

It is equal to p₅₄₀₂₈₆ and since 8008081 and 540286 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (8008181) 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, 4004040 + 4004041.

It is an arithmetic number, because the mean of its divisors is an integer number (4004041).

Almost surely, 2^8008081 is an apocalyptic number.

It is an amenable number.

8008081 is a deficient number, since it is larger than the sum of its proper divisors (1).

8008081 is an equidigital number, since it uses as much as digits as its factorization.

8008081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 512, while the sum is 25.

The square root of 8008081 is about 2829.8552966539. The cubic root of 8008081 is about 200.0673190049.

The spelling of 8008081 in words is "eight million, eight thousand, eighty-one".