8000003 has 4 divisors (see below), whose sum is σ = 8727288. Its totient is φ = 7272720.

The previous prime is 7999993. The next prime is 8000009. The reversal of 8000003 is 3000008.

8000003 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 8000003 - 2¹⁰ = 7998979 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (11), and also a Moran number because the ratio is a prime number: 727273 = 8000003 / (8 + 0 + 0 + 0 + 0 + 0 + 3).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8000009) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 363626 + ... + 363647.

It is an arithmetic number, because the mean of its divisors is an integer number (2181822).

Almost surely, 2^8000003 is an apocalyptic number.

8000003 is a deficient number, since it is larger than the sum of its proper divisors (727285).

8000003 is a wasteful number, since it uses less digits than its factorization.

8000003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727284.

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 8000003 is about 2828.4276550762. The cubic root of 8000003 is about 200.0000250000. Note that the first 4 decimals are identical.

Adding to 8000003 its reverse (3000008), we get a palindrome (11000011).

The spelling of 8000003 in words is "eight million, three", and thus it is an aban number and an uban number.