9998007 has 16 divisors (see below), whose sum is σ = 13724928. Its totient is φ = 6471360.

The previous prime is 9997997. The next prime is 9998017. The reversal of 9998007 is 7008999.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (9997997) and next prime (9998017).

It is not a de Polignac number, because 9998007 - 2⁴ = 9997991 is a prime.

9998007 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 9998007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9998017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15228 + ... + 15870.

It is an arithmetic number, because the mean of its divisors is an integer number (857808).

Almost surely, 2^9998007 is an apocalyptic number.

9998007 is a deficient number, since it is larger than the sum of its proper divisors (3726921).

9998007 is a wasteful number, since it uses less digits than its factorization.

9998007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790.

The product of its (nonzero) digits is 40824, while the sum is 42.

The square root of 9998007 is about 3161.9625234971. The cubic root of 9998007 is about 215.4291554245.

The spelling of 9998007 in words is "nine million, nine hundred ninety-eight thousand, seven".