8006003 has 2 divisors, whose sum is σ = 8006004. Its totient is φ = 8006002.

The previous prime is 8005957. The next prime is 8006017. The reversal of 8006003 is 3006008.

It is a happy number.

8006003 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 is a cyclic number.

It is not a de Polignac number, because 8006003 - 2¹⁰ = 8004979 is a prime.

It is an Ulam number.

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 (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4003001 + 4003002.

It is an arithmetic number, because the mean of its divisors is an integer number (4003002).

Almost surely, 2^8006003 is an apocalyptic number.

8006003 is a deficient number, since it is larger than the sum of its proper divisors (1).

8006003 is an equidigital number, since it uses as much as digits as its factorization.

8006003 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 8006003 is about 2829.4881162500. The cubic root of 8006003 is about 200.0500124927.

The spelling of 8006003 in words is "eight million, six thousand, three".