8172122805 has 168 divisors, whose sum is σ = 18476981376. Its totient is φ = 3394923840.

The previous prime is 8172122779. The next prime is 8172122843. The reversal of 8172122805 is 5082212718.

It is not a de Polignac number, because 8172122805 - 2⁷ = 8172122677 is a prime.

It is a super-2 number, since 2×8172122805² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 8172122805.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 3085992 + ... + 3088638.

It is an arithmetic number, because the mean of its divisors is an integer number (109982032).

Almost surely, 2^8172122805 is an apocalyptic number.

It is an amenable number.

8172122805 is an abundant number, since it is smaller than the sum of its proper divisors (10304858571).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8172122805 is a wasteful number, since it uses less digits than its factorization.

8172122805 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2699 (or 2673 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 8172122805 is about 90399.7942752084. The cubic root of 8172122805 is about 2014.2419103518.

The spelling of 8172122805 in words is "eight billion, one hundred seventy-two million, one hundred twenty-two thousand, eight hundred five".