8292105721 has 9 divisors (see below), whose sum is σ = 8503113549. Its totient is φ = 8086216800.

The previous prime is 8292105683. The next prime is 8292105733. The reversal of 8292105721 is 1275012928.

The square root of 8292105721 is 91061.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1151855721 + 7140250000 = 33939^2 + 84500^2 .

It is not a de Polignac number, because 8292105721 - 2³¹ = 6144622073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8293105721) 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, 3732391 + ... + 3734611.

Almost surely, 2^8292105721 is an apocalyptic number.

8292105721 is the 91061-st square number.

8292105721 is the 45531-st centered octagonal number.

It is an amenable number.

8292105721 is a deficient number, since it is larger than the sum of its proper divisors (211007828).

8292105721 is an frugal number, since it uses more digits than its factorization.

8292105721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4524 (or 2262 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 37.

The cubic root of 8292105721 is about 2024.0517408314.

The spelling of 8292105721 in words is "eight billion, two hundred ninety-two million, one hundred five thousand, seven hundred twenty-one".