8003981 has 2 divisors, whose sum is σ = 8003982. Its totient is φ = 8003980.

The previous prime is 8003927. The next prime is 8003987. The reversal of 8003981 is 1893008.

It is a happy number.

8003981 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4972900 + 3031081 = 2230^2 + 1741^2 .

It is a cyclic number.

It is not a de Polignac number, because 8003981 - 2²² = 3809677 is a prime.

It is a super-2 number, since 2×8003981² = 128127423696722, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (8003987) 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 as a sum of consecutive naturals, namely, 4001990 + 4001991.

It is an arithmetic number, because the mean of its divisors is an integer number (4001991).

Almost surely, 2^8003981 is an apocalyptic number.

It is an amenable number.

8003981 is a deficient number, since it is larger than the sum of its proper divisors (1).

8003981 is an equidigital number, since it uses as much as digits as its factorization.

8003981 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 8003981 is about 2829.1307852413. The cubic root of 8003981 is about 200.0331694986.

Adding to 8003981 its reverse (1893008), we get a palindrome (9896989).

The spelling of 8003981 in words is "eight million, three thousand, nine hundred eighty-one".