9937729973 has 2 divisors, whose sum is σ = 9937729974. Its totient is φ = 9937729972.

The previous prime is 9937729903. The next prime is 9937729993. The reversal of 9937729973 is 3799277399.

9937729973 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6460622884 + 3477107089 = 80378^2 + 58967^2 .

It is a cyclic number.

It is not a de Polignac number, because 9937729973 - 2⁸ = 9937729717 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (9937729903) 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 as a sum of consecutive naturals, namely, 4968864986 + 4968864987.

It is an arithmetic number, because the mean of its divisors is an integer number (4968864987).

Almost surely, 2^9937729973 is an apocalyptic number.

It is an amenable number.

9937729973 is a deficient number, since it is larger than the sum of its proper divisors (1).

9937729973 is an equidigital number, since it uses as much as digits as its factorization.

9937729973 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 40507614, while the sum is 65.

The square root of 9937729973 is about 99688.1636554712. The cubic root of 9937729973 is about 2149.9534854188.

The spelling of 9937729973 in words is "nine billion, nine hundred thirty-seven million, seven hundred twenty-nine thousand, nine hundred seventy-three".