3967971713 has 2 divisors, whose sum is σ = 3967971714. Its totient is φ = 3967971712.

The previous prime is 3967971671. The next prime is 3967971739. The reversal of 3967971713 is 3171797693.

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., 3291087424 + 676884289 = 57368^2 + 26017^2 .

It is an emirp because it is prime and its reverse (3171797693) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3967971713 - 2¹⁶ = 3967906177 is a prime.

It is not a weakly prime, because it can be changed into another prime (3967971743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1983985856 + 1983985857.

It is an arithmetic number, because the mean of its divisors is an integer number (1983985857).

Almost surely, 2^3967971713 is an apocalyptic number.

It is an amenable number.

3967971713 is a deficient number, since it is larger than the sum of its proper divisors (1).

3967971713 is an equidigital number, since it uses as much as digits as its factorization.

3967971713 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1500282, while the sum is 53.

The square root of 3967971713 is about 62991.8384634073. The cubic root of 3967971713 is about 1583.1528818713.

The spelling of 3967971713 in words is "three billion, nine hundred sixty-seven million, nine hundred seventy-one thousand, seven hundred thirteen".