199984 has 20 divisors (see below), whose sum is σ = 401760. Its totient is φ = 96320.

The previous prime is 199967. The next prime is 199999. The reversal of 199984 is 489991.

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 3 ways as a sum of consecutive naturals, for example, 249 + ... + 679.

It is an arithmetic number, because the mean of its divisors is an integer number (20088).

2¹⁹⁹⁹⁸⁴ 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 199984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200880).

199984 is an abundant number, since it is smaller than the sum of its proper divisors (201776).

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

199984 is a wasteful number, since it uses less digits than its factorization.

199984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 462 counting only the distinct ones).

The product of its digits is 23328, while the sum is 40.

The square root of 199984 is about 447.1957065984. The cubic root of 199984 is about 58.4787952465.

It can be divided in two parts, 19998 and 4, that added together give a palindrome (20002).

The spelling of 199984 in words is "one hundred ninety-nine thousand, nine hundred eighty-four".