9967749 has 8 divisors (see below), whose sum is σ = 14498592. Its totient is φ = 6041040.

The previous prime is 9967721. The next prime is 9967759. The reversal of 9967749 is 9477699.

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

It is not a de Polignac number, because 9967749 - 2⁷ = 9967621 is a prime.

It is a d-powerful number, because it can be written as 9 + 9² + 6⁵ + 7² + 7⁸ + 4¹¹ + 9³ .

9967749 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9967759) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 150994 + ... + 151059.

It is an arithmetic number, because the mean of its divisors is an integer number (1812324).

Almost surely, 2^9967749 is an apocalyptic number.

It is an amenable number.

9967749 is a deficient number, since it is larger than the sum of its proper divisors (4530843).

9967749 is a wasteful number, since it uses less digits than its factorization.

9967749 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302067.

The product of its digits is 857304, while the sum is 51.

The square root of 9967749 is about 3157.1742112212. The cubic root of 9967749 is about 215.2116106582.

The spelling of 9967749 in words is "nine million, nine hundred sixty-seven thousand, seven hundred forty-nine".