9910829 has 2 divisors, whose sum is σ = 9910830. Its totient is φ = 9910828.

The previous prime is 9910811. The next prime is 9910867. The reversal of 9910829 is 9280199.

It is an a-pointer prime, because the next prime (9910867) can be obtained adding 9910829 to its sum of digits (38).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5769604 + 4141225 = 2402^2 + 2035^2 .

It is an emirp because it is prime and its reverse (9280199) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-9910829 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 9910792 and 9910801.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (9910129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4955414 + 4955415.

It is an arithmetic number, because the mean of its divisors is an integer number (4955415).

Almost surely, 2^9910829 is an apocalyptic number.

It is an amenable number.

9910829 is a deficient number, since it is larger than the sum of its proper divisors (1).

9910829 is an equidigital number, since it uses as much as digits as its factorization.

9910829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11664, while the sum is 38.

The square root of 9910829 is about 3148.1469152503. The cubic root of 9910829 is about 214.8011790962.

The spelling of 9910829 in words is "nine million, nine hundred ten thousand, eight hundred twenty-nine".