9802116 has 72 divisors (see below), whose sum is σ = 26371800. Its totient is φ = 3064320.

The previous prime is 9802109. The next prime is 9802139. The reversal of 9802116 is 6112089.

It can be written as a sum of positive squares in 4 ways, for example, as 1368900 + 8433216 = 1170^2 + 2904^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 9802116.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42690 + ... + 42918.

It is an arithmetic number, because the mean of its divisors is an integer number (366275).

Almost surely, 2^9802116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9802116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13185900).

9802116 is an abundant number, since it is smaller than the sum of its proper divisors (16569684).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9802116 is a wasteful number, since it uses less digits than its factorization.

9802116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 9802116 is about 3130.8331159613. The cubic root of 9802116 is about 214.0128970013.

Subtracting from 9802116 its sum of digits (27), we obtain a palindrome (9802089).

The spelling of 9802116 in words is "nine million, eight hundred two thousand, one hundred sixteen".