9905707 has 16 divisors (see below), whose sum is σ = 12096000. Its totient is φ = 7922880.

The previous prime is 9905683. The next prime is 9905711. The reversal of 9905707 is 7075099.

9905707 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 9905707 - 2¹⁵ = 9872939 is a prime.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (9905717) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8919 + ... + 9967.

It is an arithmetic number, because the mean of its divisors is an integer number (756000).

Almost surely, 2^9905707 is an apocalyptic number.

9905707 is a deficient number, since it is larger than the sum of its proper divisors (2190293).

9905707 is a wasteful number, since it uses less digits than its factorization.

9905707 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146.

The product of its (nonzero) digits is 19845, while the sum is 37.

The square root of 9905707 is about 3147.3333156817. Note that the first 4 decimals coincide. The cubic root of 9905707 is about 214.7641690329.

The spelling of 9905707 in words is "nine million, nine hundred five thousand, seven hundred seven".