9405085097 has 2 divisors, whose sum is σ = 9405085098. Its totient is φ = 9405085096.

The previous prime is 9405085073. The next prime is 9405085099. The reversal of 9405085097 is 7905805049.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9351663616 + 53421481 = 96704^2 + 7309^2 .

It is a cyclic number.

It is not a de Polignac number, because 9405085097 - 2¹⁸ = 9404822953 is a prime.

It is a super-2 number, since 2×9405085097² (a number of 21 digits) contains 22 as substring.

Together with 9405085099, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (9405085099) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4702542548 + 4702542549.

It is an arithmetic number, because the mean of its divisors is an integer number (4702542549).

Almost surely, 2^9405085097 is an apocalyptic number.

It is an amenable number.

9405085097 is a deficient number, since it is larger than the sum of its proper divisors (1).

9405085097 is an equidigital number, since it uses as much as digits as its factorization.

9405085097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 453600, while the sum is 47.

The square root of 9405085097 is about 96979.8179880742. The cubic root of 9405085097 is about 2110.8347884684.

The spelling of 9405085097 in words is "nine billion, four hundred five million, eighty-five thousand, ninety-seven".