984100 has 36 divisors (see below), whose sum is σ = 2302804. Its totient is φ = 362880.

The previous prime is 984091. The next prime is 984119. The reversal of 984100 is 1489.

It can be written as a sum of positive squares in 6 ways, for example, as 73984 + 910116 = 272^2 + 954^2 .

It is a nialpdrome in base 10.

It is a congruent number.

It is an unprimeable number.

984100 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 (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 922 + ... + 1678.

2⁹⁸⁴¹⁰⁰ 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 984100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1151402).

984100 is an abundant number, since it is smaller than the sum of its proper divisors (1318704).

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

984100 is a wasteful number, since it uses less digits than its factorization.

984100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 984100 is about 992.0181449953. The cubic root of 984100 is about 99.4671659210.

Adding to 984100 its reverse (1489), we get a palindrome (985589).

It can be divided in two parts, 9 and 84100, that multiplied together give a square (756900 = 870²).

The spelling of 984100 in words is "nine hundred eighty-four thousand, one hundred".