9967746 has 32 divisors (see below), whose sum is σ = 21392640. Its totient is φ = 3085056.

The previous prime is 9967721. The next prime is 9967759. The reversal of 9967746 is 6477699.

It is a d-powerful number, because it can be written as 9² + 9³ + 6 + 7² + 7⁸ + 4¹¹ + 6⁵ .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 9967695 and 9967704.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7440 + ... + 8676.

It is an arithmetic number, because the mean of its divisors is an integer number (668520).

Almost surely, 2^9967746 is an apocalyptic number.

9967746 is an abundant number, since it is smaller than the sum of its proper divisors (11424894).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9967746 is a wasteful number, since it uses less digits than its factorization.

9967746 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338.

The product of its digits is 571536, while the sum is 48.

The square root of 9967746 is about 3157.1737361127. The cubic root of 9967746 is about 215.2115890674.

The spelling of 9967746 in words is "nine million, nine hundred sixty-seven thousand, seven hundred forty-six".