8005241 has 2 divisors, whose sum is σ = 8005242. Its totient is φ = 8005240.

The previous prime is 8005211. The next prime is 8005243. The reversal of 8005241 is 1425008.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7398400 + 606841 = 2720^2 + 779^2 .

It is a cyclic number.

It is not a de Polignac number, because 8005241 - 2¹⁴ = 7988857 is a prime.

Together with 8005243, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (8005243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4002620 + 4002621.

It is an arithmetic number, because the mean of its divisors is an integer number (4002621).

Almost surely, 2^8005241 is an apocalyptic number.

It is an amenable number.

8005241 is a deficient number, since it is larger than the sum of its proper divisors (1).

8005241 is an equidigital number, since it uses as much as digits as its factorization.

8005241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 8005241 is about 2829.3534597148. The cubic root of 8005241 is about 200.0436654659.

The spelling of 8005241 in words is "eight million, five thousand, two hundred forty-one".