8001819 has 24 divisors (see below), whose sum is σ = 13309920. Its totient is φ = 4537728.

The previous prime is 8001811. The next prime is 8001823. The reversal of 8001819 is 9181008.

It is not a de Polignac number, because 8001819 - 2³ = 8001811 is a prime.

It is a super-2 number, since 2×8001819² = 128058214617522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8001792 and 8001801.

It is not an unprimeable number, because it can be changed into a prime (8001811) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9487 + ... + 10295.

It is an arithmetic number, because the mean of its divisors is an integer number (554580).

Almost surely, 2^8001819 is an apocalyptic number.

8001819 is a deficient number, since it is larger than the sum of its proper divisors (5308101).

8001819 is a wasteful number, since it uses less digits than its factorization.

8001819 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 979 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The square root of 8001819 is about 2828.7486632785. The cubic root of 8001819 is about 200.0151571846.

The spelling of 8001819 in words is "eight million, one thousand, eight hundred nineteen".