83984 has 20 divisors (see below), whose sum is σ = 169260. Its totient is φ = 40320.

The previous prime is 83983. The next prime is 83987. The reversal of 83984 is 48938.

It can be written as a sum of positive squares in 2 ways, for example, as 16384 + 67600 = 128^2 + 260^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 83984.

It is not an unprimeable number, because it can be changed into a prime (83983) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 374 + ... + 554.

It is an arithmetic number, because the mean of its divisors is an integer number (8463).

2⁸³⁹⁸⁴ 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 83984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84630).

83984 is an abundant number, since it is smaller than the sum of its proper divisors (85276).

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

83984 is a wasteful number, since it uses less digits than its factorization.

83984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 212 counting only the distinct ones).

The product of its digits is 6912, while the sum is 32.

The square root of 83984 is about 289.7999309869. The cubic root of 83984 is about 43.7924105752.

The spelling of 83984 in words is "eighty-three thousand, nine hundred eighty-four".