9800 has 36 divisors (see below), whose sum is σ = 26505. Its totient is φ = 3360.
The previous prime is 9791. The next prime is 9803. The reversal of 9800 is 89.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It is a Cunningham number, because it is equal to 992-1.
It can be written as a sum of positive squares in 2 ways, for example, as 9604 + 196 = 98^2 + 14^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=70.
It is a nialpdrome in base 10.
It is not an unprimeable number, because it can be changed into a prime (9803) by changing a digit.
9800 is an untouchable number, because it is not equal to the sum of proper divisors of any number.
It is a pernicious number, because its binary representation contains a prime number (5) of ones.
It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1397 + ... + 1403.
29800 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 9800
9800 is an abundant number, since it is smaller than the sum of its proper divisors (16705).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9800 is a wasteful number, since it uses less digits than its factorization.
With its successor (9801) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (14).
9800 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 30 (or 14 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 17.
The square root of 9800 is about 98.9949493661. The cubic root of 9800 is about 21.3997496113.
Multiplying 9800 by its product of nonzero digits (72), we get a square (705600 = 8402).
Adding to 9800 its reverse (89), we get a palindrome (9889).
The spelling of 9800 in words is "nine thousand, eight hundred".
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