983200 has 36 divisors (see below), whose sum is σ = 2402190. Its totient is φ = 392960.

The previous prime is 983197. The next prime is 983209. The reversal of 983200 is 2389.

It can be written as a sum of positive squares in 3 ways, for example, as 944784 + 38416 = 972^2 + 196^2 .

It is a nialpdrome in base 10.

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (983209) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 186 + ... + 1414.

2⁹⁸³²⁰⁰ 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 983200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1201095).

983200 is an abundant number, since it is smaller than the sum of its proper divisors (1418990).

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

983200 is a wasteful number, since it uses less digits than its factorization.

983200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1249 (or 1236 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 983200 is about 991.5644204992. The cubic root of 983200 is about 99.4368343988.

Adding to 983200 its reverse (2389), we get a palindrome (985589).

It can be divided in two parts, 98 and 3200, that multiplied together give a square (313600 = 560²).

The spelling of 983200 in words is "nine hundred eighty-three thousand, two hundred".