9905197 has 2 divisors, whose sum is σ = 9905198. Its totient is φ = 9905196.

The previous prime is 9905191. The next prime is 9905209. The reversal of 9905197 is 7915099.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6625476 + 3279721 = 2574^2 + 1811^2 .

It is an emirp because it is prime and its reverse (7915099) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 9905197 - 2¹¹ = 9903149 is a prime.

It is a super-2 number, since 2×9905197² = 196225855217618, which contains 22 as substring.

It is a Chen prime.

9905197 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (9905191) 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, 4952598 + 4952599.

It is an arithmetic number, because the mean of its divisors is an integer number (4952599).

Almost surely, 2^9905197 is an apocalyptic number.

It is an amenable number.

9905197 is a deficient number, since it is larger than the sum of its proper divisors (1).

9905197 is an equidigital number, since it uses as much as digits as its factorization.

9905197 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25515, while the sum is 40.

The square root of 9905197 is about 3147.2522936682. The cubic root of 9905197 is about 214.7604832248.

The spelling of 9905197 in words is "nine million, nine hundred five thousand, one hundred ninety-seven".