3971006713 has 2 divisors, whose sum is σ = 3971006714. Its totient is φ = 3971006712.

The previous prime is 3971006687. The next prime is 3971006723. The reversal of 3971006713 is 3176001793.

3971006713 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., 3487138704 + 483868009 = 59052^2 + 21997^2 .

It is a cyclic number.

It is not a de Polignac number, because 3971006713 - 2⁹ = 3971006201 is a prime.

It is not a weakly prime, because it can be changed into another prime (3971006723) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1985503356 + 1985503357.

It is an arithmetic number, because the mean of its divisors is an integer number (1985503357).

Almost surely, 2^3971006713 is an apocalyptic number.

It is an amenable number.

3971006713 is a deficient number, since it is larger than the sum of its proper divisors (1).

3971006713 is an equidigital number, since it uses as much as digits as its factorization.

3971006713 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 23814, while the sum is 37.

The square root of 3971006713 is about 63015.9242810895. The cubic root of 3971006713 is about 1583.5564167101.

The spelling of 3971006713 in words is "three billion, nine hundred seventy-one million, six thousand, seven hundred thirteen".