4873638617 has 2 divisors, whose sum is σ = 4873638618. Its totient is φ = 4873638616.

The previous prime is 4873638593. The next prime is 4873638641. The reversal of 4873638617 is 7168363784.

It is a balanced prime because it is at equal distance from previous prime (4873638593) and next prime (4873638641).

It can be written as a sum of positive squares in only one way, i.e., 3037001881 + 1836636736 = 55109^2 + 42856^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-4873638617 is a prime.

It is a super-3 number, since 3×4873638617³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (4873638667) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2436819308 + 2436819309.

It is an arithmetic number, because the mean of its divisors is an integer number (2436819309).

Almost surely, 2^4873638617 is an apocalyptic number.

It is an amenable number.

4873638617 is a deficient number, since it is larger than the sum of its proper divisors (1).

4873638617 is an equidigital number, since it uses as much as digits as its factorization.

4873638617 is an evil number, because the sum of its binary digits is even.

The product of its digits is 4064256, while the sum is 53.

The square root of 4873638617 is about 69811.4504719677. The cubic root of 4873638617 is about 1695.4478696292.

The spelling of 4873638617 in words is "four billion, eight hundred seventy-three million, six hundred thirty-eight thousand, six hundred seventeen".