8209164117 has 64 divisors (see below), whose sum is σ = 14508896256. Its totient is φ = 4001986560.

The previous prime is 8209164077. The next prime is 8209164127. The reversal of 8209164117 is 7114619028.

It is not a de Polignac number, because 8209164117 - 2¹⁵ = 8209131349 is a prime.

It is a super-3 number, since 3×8209164117³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8209164127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 267013 + ... + 296165.

It is an arithmetic number, because the mean of its divisors is an integer number (226701504).

Almost surely, 2^8209164117 is an apocalyptic number.

It is an amenable number.

8209164117 is a deficient number, since it is larger than the sum of its proper divisors (6299732139).

8209164117 is a wasteful number, since it uses less digits than its factorization.

8209164117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29250.

The product of its (nonzero) digits is 24192, while the sum is 39.

The square root of 8209164117 is about 90604.4376231098. The cubic root of 8209164117 is about 2017.2806034292.

The spelling of 8209164117 in words is "eight billion, two hundred nine million, one hundred sixty-four thousand, one hundred seventeen".