3977852617 has 2 divisors, whose sum is σ = 3977852618. Its totient is φ = 3977852616.

The previous prime is 3977852539. The next prime is 3977852663. The reversal of 3977852617 is 7162587793.

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., 2344399561 + 1633453056 = 48419^2 + 40416^2 .

It is a cyclic number.

It is not a de Polignac number, because 3977852617 - 2¹⁵ = 3977819849 is a prime.

It is a super-2 number, since 2×3977852617² = 31646622885147497378, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (3977852317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1988926308 + 1988926309.

It is an arithmetic number, because the mean of its divisors is an integer number (1988926309).

Almost surely, 2^3977852617 is an apocalyptic number.

It is an amenable number.

3977852617 is a deficient number, since it is larger than the sum of its proper divisors (1).

3977852617 is an equidigital number, since it uses as much as digits as its factorization.

3977852617 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4445280, while the sum is 55.

The square root of 3977852617 is about 63070.2197316610. The cubic root of 3977852617 is about 1584.4658965273.

The spelling of 3977852617 in words is "three billion, nine hundred seventy-seven million, eight hundred fifty-two thousand, six hundred seventeen".