9921667 has 12 divisors (see below), whose sum is σ = 12150120. Its totient is φ = 8055936.

The previous prime is 9921641. The next prime is 9921679. The reversal of 9921667 is 7661299.

It is a de Polignac number, because none of the positive numbers 2^k-9921667 is a prime.

It is a super-3 number, since 3×9921667³ (a number of 22 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (9921167) 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 11 ways as a sum of consecutive naturals, for example, 4398 + ... + 6259.

It is an arithmetic number, because the mean of its divisors is an integer number (1012510).

Almost surely, 2^9921667 is an apocalyptic number.

9921667 is a deficient number, since it is larger than the sum of its proper divisors (2228453).

9921667 is a wasteful number, since it uses less digits than its factorization.

9921667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10690 (or 10683 counting only the distinct ones).

The product of its digits is 40824, while the sum is 40.

The square root of 9921667 is about 3149.8677750026. The cubic root of 9921667 is about 214.8794492757.

The spelling of 9921667 in words is "nine million, nine hundred twenty-one thousand, six hundred sixty-seven".