9905398761 has 16 divisors (see below), whose sum is σ = 13445264448. Its totient is φ = 6485606400.

The previous prime is 9905398759. The next prime is 9905398781. The reversal of 9905398761 is 1678935099.

9905398761 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 9905398761 - 2¹ = 9905398759 is a prime.

It is a super-2 number, since 2×9905398761² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (9905398781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91800 + ... + 168041.

It is an arithmetic number, because the mean of its divisors is an integer number (840329028).

Almost surely, 2^9905398761 is an apocalyptic number.

It is an amenable number.

9905398761 is a deficient number, since it is larger than the sum of its proper divisors (3539865687).

9905398761 is a wasteful number, since it uses less digits than its factorization.

9905398761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260072.

The product of its (nonzero) digits is 3674160, while the sum is 57.

The square root of 9905398761 is about 99525.8698078042. The cubic root of 9905398761 is about 2147.6194138173.

The spelling of 9905398761 in words is "nine billion, nine hundred five million, three hundred ninety-eight thousand, seven hundred sixty-one".