66768041 has 2 divisors, whose sum is σ = 66768042. Its totient is φ = 66768040.

The previous prime is 66768029. The next prime is 66768043. The reversal of 66768041 is 14086766.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 58905625 + 7862416 = 7675^2 + 2804^2 .

It is a cyclic number.

It is not a de Polignac number, because 66768041 - 2¹⁰ = 66767017 is a prime.

Together with 66768043, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 66767986 and 66768004.

It is not a weakly prime, because it can be changed into another prime (66768043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33384020 + 33384021.

It is an arithmetic number, because the mean of its divisors is an integer number (33384021).

Almost surely, 2^66768041 is an apocalyptic number.

It is an amenable number.

66768041 is a deficient number, since it is larger than the sum of its proper divisors (1).

66768041 is an equidigital number, since it uses as much as digits as its factorization.

66768041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 66768041 is about 8171.1713358612. The cubic root of 66768041 is about 405.6855553415.

The spelling of 66768041 in words is "sixty-six million, seven hundred sixty-eight thousand, forty-one".