9967791 has 16 divisors (see below), whose sum is σ = 13650048. Its totient is φ = 6468000.

The previous prime is 9967781. The next prime is 9967801. The reversal of 9967791 is 1977699.

It is an interprime number because it is at equal distance from previous prime (9967781) and next prime (9967801).

It is not a de Polignac number, because 9967791 - 2⁵ = 9967759 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 9967791.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9967721) 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 15 ways as a sum of consecutive naturals, for example, 20056 + ... + 20546.

It is an arithmetic number, because the mean of its divisors is an integer number (853128).

Almost surely, 2^9967791 is an apocalyptic number.

9967791 is a deficient number, since it is larger than the sum of its proper divisors (3682257).

9967791 is a wasteful number, since it uses less digits than its factorization.

9967791 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662.

The product of its digits is 214326, while the sum is 48.

The square root of 9967791 is about 3157.1808627318. The cubic root of 9967791 is about 215.2119129289.

The spelling of 9967791 in words is "nine million, nine hundred sixty-seven thousand, seven hundred ninety-one".