9729101 has 2 divisors, whose sum is σ = 9729102. Its totient is φ = 9729100.

The previous prime is 9729091. The next prime is 9729103. The reversal of 9729101 is 1019279.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5522500 + 4206601 = 2350^2 + 2051^2 .

It is a cyclic number.

It is not a de Polignac number, because 9729101 - 2⁶ = 9729037 is a prime.

It is a super-3 number, since 3×9729101³ (a number of 22 digits) contains 333 as substring.

It is a Sophie Germain prime.

Together with 9729103, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (9729103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4864550 + 4864551.

It is an arithmetic number, because the mean of its divisors is an integer number (4864551).

Almost surely, 2^9729101 is an apocalyptic number.

It is an amenable number.

9729101 is a deficient number, since it is larger than the sum of its proper divisors (1).

9729101 is an equidigital number, since it uses as much as digits as its factorization.

9729101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1134, while the sum is 29.

The square root of 9729101 is about 3119.1506856835. The cubic root of 9729101 is about 213.4801850759.

The spelling of 9729101 in words is "nine million, seven hundred twenty-nine thousand, one hundred one".