65667822876673 has 2 divisors, whose sum is σ = 65667822876674. Its totient is φ = 65667822876672.

The previous prime is 65667822876611. The next prime is 65667822876679. The reversal of 65667822876673 is 37667822876656.

65667822876673 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 49423473013489 + 16244349863184 = 7030183^2 + 4030428^2 .

It is a cyclic number.

It is not a de Polignac number, because 65667822876673 - 2¹³ = 65667822868481 is a prime.

It is a super-2 number, since 2×65667822876673² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 65667822876593 and 65667822876602.

It is not a weakly prime, because it can be changed into another prime (65667822876679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 32833911438336 + 32833911438337.

It is an arithmetic number, because the mean of its divisors is an integer number (32833911438337).

Almost surely, 2^{65667822876673} is an apocalyptic number.

It is an amenable number.

65667822876673 is a deficient number, since it is larger than the sum of its proper divisors (1).

65667822876673 is an equidigital number, since it uses as much as digits as its factorization.

65667822876673 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 10241925120, while the sum is 79.

The spelling of 65667822876673 in words is "sixty-five trillion, six hundred sixty-seven billion, eight hundred twenty-two million, eight hundred seventy-six thousand, six hundred seventy-three".