8006441 has 2 divisors, whose sum is σ = 8006442. Its totient is φ = 8006440.

The previous prime is 8006437. The next prime is 8006443. The reversal of 8006441 is 1446008.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7958041 + 48400 = 2821^2 + 220^2 .

It is a cyclic number.

It is not a de Polignac number, because 8006441 - 2² = 8006437 is a prime.

It is a Sophie Germain prime.

Together with 8006443, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (8006443) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4003220 + 4003221.

It is an arithmetic number, because the mean of its divisors is an integer number (4003221).

Almost surely, 2^8006441 is an apocalyptic number.

It is an amenable number.

8006441 is a deficient number, since it is larger than the sum of its proper divisors (1).

8006441 is an equidigital number, since it uses as much as digits as its factorization.

8006441 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 8006441 is about 2829.5655143502. The cubic root of 8006441 is about 200.0536606014.

The spelling of 8006441 in words is "eight million, six thousand, four hundred forty-one".