8004223 has 2 divisors, whose sum is σ = 8004224. Its totient is φ = 8004222.

The previous prime is 8004221. The next prime is 8004257. The reversal of 8004223 is 3224008.

It is a happy number.

8004223 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 8004223 - 2¹ = 8004221 is a prime.

Together with 8004221, it forms a pair of twin primes.

8004223 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 8004223.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (8004221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4002111 + 4002112.

It is an arithmetic number, because the mean of its divisors is an integer number (4002112).

Almost surely, 2^8004223 is an apocalyptic number.

8004223 is a deficient number, since it is larger than the sum of its proper divisors (1).

8004223 is an equidigital number, since it uses as much as digits as its factorization.

8004223 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 8004223 is about 2829.1735542381. The cubic root of 8004223 is about 200.0351854762.

The spelling of 8004223 in words is "eight million, four thousand, two hundred twenty-three".