8205738241 has 2 divisors, whose sum is σ = 8205738242. Its totient is φ = 8205738240.

The previous prime is 8205738209. The next prime is 8205738253. The reversal of 8205738241 is 1428375028.

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., 7252225600 + 953512641 = 85160^2 + 30879^2 .

It is a cyclic number.

It is not a de Polignac number, because 8205738241 - 2⁵ = 8205738209 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 8205738194 and 8205738203.

It is not a weakly prime, because it can be changed into another prime (8205738341) 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, 4102869120 + 4102869121.

It is an arithmetic number, because the mean of its divisors is an integer number (4102869121).

Almost surely, 2^8205738241 is an apocalyptic number.

It is an amenable number.

8205738241 is a deficient number, since it is larger than the sum of its proper divisors (1).

8205738241 is an equidigital number, since it uses as much as digits as its factorization.

8205738241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 107520, while the sum is 40.

The square root of 8205738241 is about 90585.5299758190. The cubic root of 8205738241 is about 2016.9999449400. Note that the first 4 decimals are identical.

The spelling of 8205738241 in words is "eight billion, two hundred five million, seven hundred thirty-eight thousand, two hundred forty-one".