9967407 has 8 divisors (see below), whose sum is σ = 13305600. Its totient is φ = 6637080.

The previous prime is 9967379. The next prime is 9967409. The reversal of 9967407 is 7047699.

9967407 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 a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 9967407 - 2¹¹ = 9965359 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9967409) 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, 2344 + ... + 5042.

It is an arithmetic number, because the mean of its divisors is an integer number (1663200).

Almost surely, 2^9967407 is an apocalyptic number.

9967407 is a deficient number, since it is larger than the sum of its proper divisors (3338193).

9967407 is a wasteful number, since it uses less digits than its factorization.

9967407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3933.

The product of its (nonzero) digits is 95256, while the sum is 42.

The square root of 9967407 is about 3157.1200483985. The cubic root of 9967407 is about 215.2091492796.

The spelling of 9967407 in words is "nine million, nine hundred sixty-seven thousand, four hundred seven".