9967743 has 6 divisors (see below), whose sum is σ = 14397864. Its totient is φ = 6645156.

The previous prime is 9967721. The next prime is 9967759. The reversal of 9967743 is 3477699.

9967743 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 9967743 - 2²⁰ = 8919167 is a prime.

It is an Ulam number.

It is a d-powerful number, because it can be written as 9² + 9³ + 6⁵ + 7² + 7⁸ + 4¹¹ + 3 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9967703) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 553755 + ... + 553772.

It is an arithmetic number, because the mean of its divisors is an integer number (2399644).

Almost surely, 2^9967743 is an apocalyptic number.

9967743 is a deficient number, since it is larger than the sum of its proper divisors (4430121).

9967743 is a wasteful number, since it uses less digits than its factorization.

9967743 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1107533 (or 1107530 counting only the distinct ones).

The product of its digits is 285768, while the sum is 45.

The square root of 9967743 is about 3157.1732610042. The cubic root of 9967743 is about 215.2115674766.

The spelling of 9967743 in words is "nine million, nine hundred sixty-seven thousand, seven hundred forty-three".