7983958609 has 9 divisors (see below), whose sum is σ = 8776836649. Its totient is φ = 7257250660.

The previous prime is 7983958571. The next prime is 7983958627. The reversal of 7983958609 is 9068593897.

It is a happy number.

The square root of 7983958609 is 89353.

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

It is not a de Polignac number, because 7983958609 - 2¹⁹ = 7983434321 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7983958639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 978822 + ... + 986944.

Almost surely, 2^7983958609 is an apocalyptic number.

7983958609 is the 89353-rd square number.

7983958609 is the 44677-th centered octagonal number.

It is an amenable number.

7983958609 is a deficient number, since it is larger than the sum of its proper divisors (792878040).

7983958609 is an frugal number, since it uses more digits than its factorization.

7983958609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16268 (or 8134 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 64.

The cubic root of 7983958609 is about 1998.6623229262.

Multiplying 7983958609 by its sum of digits (64), we get a square (510973350976 = 714824²).

The spelling of 7983958609 in words is "seven billion, nine hundred eighty-three million, nine hundred fifty-eight thousand, six hundred nine".