3981683618617 has 2 divisors, whose sum is σ = 3981683618618. Its totient is φ = 3981683618616.

The previous prime is 3981683618569. The next prime is 3981683618621. The reversal of 3981683618617 is 7168163861893.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3686952980736 + 294730637881 = 1920144^2 + 542891^2 .

It is a cyclic number.

It is not a de Polignac number, because 3981683618617 - 2⁷ = 3981683618489 is a prime.

It is a super-3 number, since 3×3981683618617³ (a number of 39 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (3981683018617) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1990841809308 + 1990841809309.

It is an arithmetic number, because the mean of its divisors is an integer number (1990841809309).

Almost surely, 2^{3981683618617} is an apocalyptic number.

It is an amenable number.

3981683618617 is a deficient number, since it is larger than the sum of its proper divisors (1).

3981683618617 is an equidigital number, since it uses as much as digits as its factorization.

3981683618617 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 62705664, while the sum is 67.

The spelling of 3981683618617 in words is "three trillion, nine hundred eighty-one billion, six hundred eighty-three million, six hundred eighteen thousand, six hundred seventeen".