8003412821 has 2 divisors, whose sum is σ = 8003412822. Its totient is φ = 8003412820.

The previous prime is 8003412757. The next prime is 8003412853. The reversal of 8003412821 is 1282143008.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7949683921 + 53728900 = 89161^2 + 7330^2 .

It is a cyclic number.

It is not a de Polignac number, because 8003412821 - 2⁶ = 8003412757 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (8003412121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4001706410 + 4001706411.

It is an arithmetic number, because the mean of its divisors is an integer number (4001706411).

Almost surely, 2^8003412821 is an apocalyptic number.

It is an amenable number.

8003412821 is a deficient number, since it is larger than the sum of its proper divisors (1).

8003412821 is an equidigital number, since it uses as much as digits as its factorization.

8003412821 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 8003412821 is about 89461.7953150953. The cubic root of 8003412821 is about 2000.2843613174.

Adding to 8003412821 its reverse (1282143008), we get a palindrome (9285555829).

The spelling of 8003412821 in words is "eight billion, three million, four hundred twelve thousand, eight hundred twenty-one".