9905332585 has 8 divisors (see below), whose sum is σ = 11890806336. Its totient is φ = 7921327920.

The previous prime is 9905332571. The next prime is 9905332601. The reversal of 9905332585 is 5852335099.

9905332585 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 9905332585 - 2¹³ = 9905324393 is a prime.

It is a super-2 number, since 2×9905332585² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 352381 + ... + 379450.

It is an arithmetic number, because the mean of its divisors is an integer number (1486350792).

Almost surely, 2^9905332585 is an apocalyptic number.

It is an amenable number.

9905332585 is a deficient number, since it is larger than the sum of its proper divisors (1985473751).

9905332585 is a wasteful number, since it uses less digits than its factorization.

9905332585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734543.

The product of its (nonzero) digits is 1458000, while the sum is 49.

The square root of 9905332585 is about 99525.5373509734. The cubic root of 9905332585 is about 2147.6146312006.

The spelling of 9905332585 in words is "nine billion, nine hundred five million, three hundred thirty-two thousand, five hundred eighty-five".