9966705 has 32 divisors (see below), whose sum is σ = 19021824. Its totient is φ = 4357056.

The previous prime is 9966701. The next prime is 9966707. The reversal of 9966705 is 5076699.

It is not a de Polignac number, because 9966705 - 2² = 9966701 is a prime.

9966705 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9966701) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 352 + ... + 4478.

It is an arithmetic number, because the mean of its divisors is an integer number (594432).

Almost surely, 2^9966705 is an apocalyptic number.

It is an amenable number.

9966705 is a deficient number, since it is larger than the sum of its proper divisors (9055119).

9966705 is a wasteful number, since it uses less digits than its factorization.

9966705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4165.

The product of its (nonzero) digits is 102060, while the sum is 42.

The square root of 9966705 is about 3157.0088691671. The cubic root of 9966705 is about 215.2040967997.

The spelling of 9966705 in words is "nine million, nine hundred sixty-six thousand, seven hundred five".