9965729 has 2 divisors, whose sum is σ = 9965730. Its totient is φ = 9965728.

The previous prime is 9965717. The next prime is 9965731. The reversal of 9965729 is 9275699.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9935104 + 30625 = 3152^2 + 175^2 .

It is a cyclic number.

It is not a de Polignac number, because 9965729 - 2⁴ = 9965713 is a prime.

It is a Sophie Germain prime.

Together with 9965731, it forms a pair of twin primes.

It is a Chen prime.

It is a d-powerful number, because it can be written as 9⁴ + 9⁷ + 6⁷ + 5⁷ + 7⁴ + 2¹⁵ + 9⁷ .

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (9965759) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4982864 + 4982865.

It is an arithmetic number, because the mean of its divisors is an integer number (4982865).

Almost surely, 2^9965729 is an apocalyptic number.

It is an amenable number.

9965729 is a deficient number, since it is larger than the sum of its proper divisors (1).

9965729 is an equidigital number, since it uses as much as digits as its factorization.

9965729 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 306180, while the sum is 47.

The square root of 9965729 is about 3156.8542886868. The cubic root of 9965729 is about 215.1970718750.

The spelling of 9965729 in words is "nine million, nine hundred sixty-five thousand, seven hundred twenty-nine".