9905675 has 24 divisors (see below), whose sum is σ = 13697040. Its totient is φ = 7056000.

The previous prime is 9905671. The next prime is 9905683. The reversal of 9905675 is 5765099.

It is not a de Polignac number, because 9905675 - 2² = 9905671 is a prime.

It is not an unprimeable number, because it can be changed into a prime (9905671) 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 in 23 ways as a sum of consecutive naturals, for example, 8900 + ... + 9950.

It is an arithmetic number, because the mean of its divisors is an integer number (570710).

Almost surely, 2^9905675 is an apocalyptic number.

9905675 is a deficient number, since it is larger than the sum of its proper divisors (3791365).

9905675 is a wasteful number, since it uses less digits than its factorization.

9905675 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103 (or 1098 counting only the distinct ones).

The product of its (nonzero) digits is 85050, while the sum is 41.

The square root of 9905675 is about 3147.3282320089. The cubic root of 9905675 is about 214.7639377702.

The spelling of 9905675 in words is "nine million, nine hundred five thousand, six hundred seventy-five".