84200 has 24 divisors (see below), whose sum is σ = 196230. Its totient is φ = 33600.

The previous prime is 84199. The next prime is 84211. The reversal of 84200 is 248.

It can be written as a sum of positive squares in 3 ways, for example, as 33124 + 51076 = 182^2 + 226^2 .

It is a hoax number, since the sum of its digits (14) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 10.

It is an unprimeable 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 5 ways as a sum of consecutive naturals, for example, 11 + ... + 410.

2⁸⁴²⁰⁰ 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 84200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98115).

84200 is an abundant number, since it is smaller than the sum of its proper divisors (112030).

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

84200 is a wasteful number, since it uses less digits than its factorization.

84200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 84200 is about 290.1723625709. The cubic root of 84200 is about 43.8299219379.

Adding to 84200 its reverse (248), we get a palindrome (84448).

The spelling of 84200 in words is "eighty-four thousand, two hundred".