201984 has 36 divisors (see below), whose sum is σ = 539616. Its totient is φ = 67072.

The previous prime is 201979. The next prime is 201997. The reversal of 201984 is 489102.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 201984.

It is an unprimeable number.

201984 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 (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 637 + ... + 899.

2²⁰¹⁹⁸⁴ is an apocalyptic number.

201984 is a gapful number since it is divisible by the number (24) 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 201984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269808).

201984 is an abundant number, since it is smaller than the sum of its proper divisors (337632).

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

201984 is an equidigital number, since it uses as much as digits as its factorization.

201984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 201984 is about 449.4263009660. The cubic root of 201984 is about 58.6730938780.

It can be divided in two parts, 20198 and 4, that added together give a palindrome (20202).

The spelling of 201984 in words is "two hundred one thousand, nine hundred eighty-four".