9967745 has 8 divisors (see below), whose sum is σ = 12009384. Its totient is φ = 7942144.

The previous prime is 9967721. The next prime is 9967759. The reversal of 9967745 is 5477699.

It can be written as a sum of positive squares in 4 ways, for example, as 5400976 + 4566769 = 2324^2 + 2137^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 9967745 - 2⁶ = 9967681 is a prime.

It is a d-powerful number, because it can be written as 9² + 9³ + 6⁵ + 7² + 7⁸ + 4¹¹ + 5 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 9967745.

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 7 ways as a sum of consecutive naturals, for example, 2594 + ... + 5163.

It is an arithmetic number, because the mean of its divisors is an integer number (1501173).

Almost surely, 2^9967745 is an apocalyptic number.

It is an amenable number.

9967745 is a deficient number, since it is larger than the sum of its proper divisors (2041639).

9967745 is a wasteful number, since it uses less digits than its factorization.

9967745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8019.

The product of its digits is 476280, while the sum is 47.

The square root of 9967745 is about 3157.1735777432. The cubic root of 9967745 is about 215.2115818705.

The spelling of 9967745 in words is "nine million, nine hundred sixty-seven thousand, seven hundred forty-five".