8617000001617 has 16 divisors (see below), whose sum is σ = 9862717064832. Its totient is φ = 7374968173440.

The previous prime is 8617000001567. The next prime is 8617000001651. The reversal of 8617000001617 is 7161000007168.

It is a de Polignac number, because none of the positive numbers 2^k-8617000001617 is a prime.

It is a super-2 number, since 2×8617000001617² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8617000002617) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17206317 + ... + 17700037.

It is an arithmetic number, because the mean of its divisors is an integer number (616419816552).

Almost surely, 2^{8617000001617} is an apocalyptic number.

It is an amenable number.

8617000001617 is a deficient number, since it is larger than the sum of its proper divisors (1245717063215).

8617000001617 is a wasteful number, since it uses less digits than its factorization.

8617000001617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497448.

The product of its (nonzero) digits is 14112, while the sum is 37.

The spelling of 8617000001617 in words is "eight trillion, six hundred seventeen billion, one thousand, six hundred seventeen".