7973954209 has 9 divisors (see below), whose sum is σ = 8635775673. Its totient is φ = 7359501552.

The previous prime is 7973954189. The next prime is 7973954237. The reversal of 7973954209 is 9024593797.

The square root of 7973954209 is 89297.

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 6044285025 + 1929669184 = 77745^2 + 43928^2 .

It is not a de Polignac number, because 7973954209 - 2⁷ = 7973954081 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 7973954209.

It is not an unprimeable number, because it can be changed into a prime (7973954309) 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, 1157427 + ... + 1164295.

Almost surely, 2^7973954209 is an apocalyptic number.

7973954209 is the 89297-th square number.

7973954209 is the 44649-th centered octagonal number.

It is an amenable number.

7973954209 is a deficient number, since it is larger than the sum of its proper divisors (661821464).

7973954209 is an frugal number, since it uses more digits than its factorization.

7973954209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13764 (or 6882 counting only the distinct ones).

The product of its (nonzero) digits is 4286520, while the sum is 55.

The cubic root of 7973954209 is about 1997.8271576496.

The spelling of 7973954209 in words is "seven billion, nine hundred seventy-three million, nine hundred fifty-four thousand, two hundred nine".