968616617 has 8 divisors (see below), whose sum is σ = 1002826440. Its totient is φ = 934460800.

The previous prime is 968616589. The next prime is 968616631. The reversal of 968616617 is 716616869.

It can be written as a sum of positive squares in 4 ways, for example, as 47554816 + 921061801 = 6896^2 + 30349^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 968616617 - 2¹⁸ = 968354473 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (968616317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24893 + ... + 50565.

It is an arithmetic number, because the mean of its divisors is an integer number (125353305).

Almost surely, 2^968616617 is an apocalyptic number.

It is an amenable number.

968616617 is a deficient number, since it is larger than the sum of its proper divisors (34209823).

968616617 is a wasteful number, since it uses less digits than its factorization.

968616617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27003.

The product of its digits is 653184, while the sum is 50.

The square root of 968616617 is about 31122.6062051365. The cubic root of 968616617 is about 989.4274882535.

The spelling of 968616617 in words is "nine hundred sixty-eight million, six hundred sixteen thousand, six hundred seventeen".