9998967 has 8 divisors (see below), whose sum is σ = 14544000. Its totient is φ = 6059960.

The previous prime is 9998929. The next prime is 9998969. The reversal of 9998967 is 7698999.

9998967 is digitally balanced in base 2, because in such base 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 a cyclic number.

It is not a de Polignac number, because 9998967 - 2⁶ = 9998903 is a prime.

9998967 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9998969) 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, 151467 + ... + 151532.

It is an arithmetic number, because the mean of its divisors is an integer number (1818000).

Almost surely, 2^9998967 is an apocalyptic number.

9998967 is a deficient number, since it is larger than the sum of its proper divisors (4545033).

9998967 is a wasteful number, since it uses less digits than its factorization.

9998967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303013.

The product of its digits is 2204496, while the sum is 57.

The square root of 9998967 is about 3162.1143243090. The cubic root of 9998967 is about 215.4360503109.

Subtracting from 9998967 its reverse (7698999), we obtain a cube (2299968 = 132³).

The spelling of 9998967 in words is "nine million, nine hundred ninety-eight thousand, nine hundred sixty-seven".