998100 has 54 divisors (see below), whose sum is σ = 3131310. Its totient is φ = 265920.

The previous prime is 998083. The next prime is 998111. The reversal of 998100 is 1899.

It can be written as a sum of positive squares in 3 ways, for example, as 6084 + 992016 = 78^2 + 996^2 .

It is a super-2 number, since 2×998100² = 1992407220000, which contains 22 as substring.

It is a nialpdrome in base 10.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 998100.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 346 + ... + 1454.

2⁹⁹⁸¹⁰⁰ is an apocalyptic number.

998100 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 998100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1565655).

998100 is an abundant number, since it is smaller than the sum of its proper divisors (2133210).

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

998100 is a wasteful number, since it uses less digits than its factorization.

998100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1129 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 998100 is about 999.0495483208. The cubic root of 998100 is about 99.9366265132.

Adding to 998100 its reverse (1899), we get a palindrome (999999).

The spelling of 998100 in words is "nine hundred ninety-eight thousand, one hundred".