8004012 has 24 divisors (see below), whose sum is σ = 18933936. Its totient is φ = 2631168.

The previous prime is 8004011. The next prime is 8004013. The reversal of 8004012 is 2104008.

It is an interprime number because it is at equal distance from previous prime (8004011) and next prime (8004013).

It is a super-2 number, since 2×8004012² = 128128416192288, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8003982 and 8004000.

It is not an unprimeable number, because it can be changed into a prime (8004011) 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 7 ways as a sum of consecutive naturals, for example, 3693 + ... + 5444.

It is an arithmetic number, because the mean of its divisors is an integer number (788914).

Almost surely, 2^8004012 is an apocalyptic number.

It is an amenable number.

8004012 is an abundant number, since it is smaller than the sum of its proper divisors (10929924).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8004012 is a wasteful number, since it uses less digits than its factorization.

8004012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9217 (or 9215 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 8004012 is about 2829.1362639505. The cubic root of 8004012 is about 200.0334277460.

The spelling of 8004012 in words is "eight million, four thousand, twelve".