768042241 has 2 divisors, whose sum is σ = 768042242. Its totient is φ = 768042240.

The previous prime is 768042173. The next prime is 768042251. The reversal of 768042241 is 142240867.

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., 704106225 + 63936016 = 26535^2 + 7996^2 .

It is an emirp because it is prime and its reverse (142240867) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 768042241 - 2¹⁹ = 767517953 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 768042197 and 768042206.

It is not a weakly prime, because it can be changed into another prime (768042251) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 384021120 + 384021121.

It is an arithmetic number, because the mean of its divisors is an integer number (384021121).

Almost surely, 2^768042241 is an apocalyptic number.

It is an amenable number.

768042241 is a deficient number, since it is larger than the sum of its proper divisors (1).

768042241 is an equidigital number, since it uses as much as digits as its factorization.

768042241 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 21504, while the sum is 34.

The square root of 768042241 is about 27713.5750310204. The cubic root of 768042241 is about 915.7881832746.

The spelling of 768042241 in words is "seven hundred sixty-eight million, forty-two thousand, two hundred forty-one".