8171979201 has 9 divisors (see below), whose sum is σ = 11804361699. Its totient is φ = 5447805336.

The previous prime is 8171979181. The next prime is 8171979227. The reversal of 8171979201 is 1029791718.

It is a happy number.

The square root of 8171979201 is 90399.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2505503025 + 5666476176 = 50055^2 + 75276^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 8171979201 - 2¹⁹ = 8171454913 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8171979241) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 256131 + ... + 286263.

Almost surely, 2^8171979201 is an apocalyptic number.

8171979201 is the 90399-th square number.

8171979201 is the 45200-th centered octagonal number.

It is an amenable number.

8171979201 is a deficient number, since it is larger than the sum of its proper divisors (3632382498).

8171979201 is an frugal number, since it uses more digits than its factorization.

8171979201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60272 (or 30136 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 45.

The cubic root of 8171979201 is about 2014.2301119123.

Multiplying 8171979201 by its product of nonzero digits (63504), we get a square (518953367180304 = 22780548²).

The spelling of 8171979201 in words is "eight billion, one hundred seventy-one million, nine hundred seventy-nine thousand, two hundred one".