9968161657 has 2 divisors, whose sum is σ = 9968161658. Its totient is φ = 9968161656.

The previous prime is 9968161649. The next prime is 9968161663. The reversal of 9968161657 is 7561618699.

9968161657 is digitally balanced in base 3, 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., 8158424976 + 1809736681 = 90324^2 + 42541^2 .

It is a cyclic number.

It is not a de Polignac number, because 9968161657 - 2³ = 9968161649 is a prime.

It is not a weakly prime, because it can be changed into another prime (9968162657) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4984080828 + 4984080829.

It is an arithmetic number, because the mean of its divisors is an integer number (4984080829).

Almost surely, 2^9968161657 is an apocalyptic number.

It is an amenable number.

9968161657 is a deficient number, since it is larger than the sum of its proper divisors (1).

9968161657 is an equidigital number, since it uses as much as digits as its factorization.

9968161657 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4898880, while the sum is 58.

The square root of 9968161657 is about 99840.6813728753. The cubic root of 9968161657 is about 2152.1458048123.

The spelling of 9968161657 in words is "nine billion, nine hundred sixty-eight million, one hundred sixty-one thousand, six hundred fifty-seven".