8002819 has 18 divisors (see below), whose sum is σ = 9419060. Its totient is φ = 6775560.

The previous prime is 8002793. The next prime is 8002823. The reversal of 8002819 is 9182008.

It is not a de Polignac number, because 8002819 - 2⁷ = 8002691 is a prime.

It is a super-2 number, since 2×8002819² = 128090223893522, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8002829) 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 in 17 ways as a sum of consecutive naturals, for example, 135612 + ... + 135670.

Almost surely, 2^8002819 is an apocalyptic number.

8002819 is a deficient number, since it is larger than the sum of its proper divisors (1416241).

8002819 is a wasteful number, since it uses less digits than its factorization.

8002819 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 8002819 is about 2828.9254143579. The cubic root of 8002819 is about 200.0234889079.

The spelling of 8002819 in words is "eight million, two thousand, eight hundred nineteen".