9972116629 has 2 divisors, whose sum is σ = 9972116630. Its totient is φ = 9972116628.

The previous prime is 9972116603. The next prime is 9972116633. The reversal of 9972116629 is 9266112799.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8185363729 + 1786752900 = 90473^2 + 42270^2 .

It is a cyclic number.

It is not a de Polignac number, because 9972116629 - 2¹⁷ = 9971985557 is a prime.

It is a super-2 number, since 2×9972116629² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (9972116699) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4986058314 + 4986058315.

It is an arithmetic number, because the mean of its divisors is an integer number (4986058315).

Almost surely, 2^9972116629 is an apocalyptic number.

It is an amenable number.

9972116629 is a deficient number, since it is larger than the sum of its proper divisors (1).

9972116629 is an equidigital number, since it uses as much as digits as its factorization.

9972116629 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 734832, while the sum is 52.

The square root of 9972116629 is about 99860.4858239734. The cubic root of 9972116629 is about 2152.4303959349.

The spelling of 9972116629 in words is "nine billion, nine hundred seventy-two million, one hundred sixteen thousand, six hundred twenty-nine".