3917972657 has 2 divisors, whose sum is σ = 3917972658. Its totient is φ = 3917972656.

The previous prime is 3917972581. The next prime is 3917972659. The reversal of 3917972657 is 7562797193.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3643208881 + 274763776 = 60359^2 + 16576^2 .

It is a cyclic number.

It is not a de Polignac number, because 3917972657 - 2¹⁰ = 3917971633 is a prime.

Together with 3917972659, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (3917972659) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1958986328 + 1958986329.

It is an arithmetic number, because the mean of its divisors is an integer number (1958986329).

Almost surely, 2^3917972657 is an apocalyptic number.

It is an amenable number.

3917972657 is a deficient number, since it is larger than the sum of its proper divisors (1).

3917972657 is an equidigital number, since it uses as much as digits as its factorization.

3917972657 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5000940, while the sum is 56.

The square root of 3917972657 is about 62593.7110019849. The cubic root of 3917972657 is about 1576.4751654195.

The spelling of 3917972657 in words is "three billion, nine hundred seventeen million, nine hundred seventy-two thousand, six hundred fifty-seven".