8072164205 has 48 divisors (see below), whose sum is σ = 11543755824. Its totient is φ = 5400944640.

The previous prime is 8072164171. The next prime is 8072164273. The reversal of 8072164205 is 5024612708.

It can be written as a sum of positive squares in 8 ways, for example, as 21409129 + 8050755076 = 4627^2 + 89726^2 .

It is not a de Polignac number, because 8072164205 - 2¹⁰ = 8072163181 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2504495 + ... + 2507715.

It is an arithmetic number, because the mean of its divisors is an integer number (240494913).

Almost surely, 2^8072164205 is an apocalyptic number.

It is an amenable number.

8072164205 is a deficient number, since it is larger than the sum of its proper divisors (3471591619).

8072164205 is a wasteful number, since it uses less digits than its factorization.

8072164205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3486 (or 3479 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 35.

The square root of 8072164205 is about 89845.2236070455. The cubic root of 8072164205 is about 2005.9956916297.

The spelling of 8072164205 in words is "eight billion, seventy-two million, one hundred sixty-four thousand, two hundred five".