2117116617 has 16 divisors (see below), whose sum is σ = 3519363072. Its totient is φ = 1099800720.

The previous prime is 2117116613. The next prime is 2117116619. The reversal of 2117116617 is 7166117112.

It is not a de Polignac number, because 2117116617 - 2² = 2117116613 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (2117116613) 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, 4582273 + ... + 4582734.

It is an arithmetic number, because the mean of its divisors is an integer number (219960192).

Almost surely, 2^2117116617 is an apocalyptic number.

It is an amenable number.

2117116617 is a deficient number, since it is larger than the sum of its proper divisors (1402246455).

2117116617 is a wasteful number, since it uses less digits than its factorization.

2117116617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9165028.

The product of its digits is 3528, while the sum is 33.

The square root of 2117116617 is about 46012.1355405289. The cubic root of 2117116617 is about 1284.0489901582.

The spelling of 2117116617 in words is "two billion, one hundred seventeen million, one hundred sixteen thousand, six hundred seventeen".