83784 has 16 divisors (see below), whose sum is σ = 209520. Its totient is φ = 27920.

The previous prime is 83777. The next prime is 83791. The reversal of 83784 is 48738.

It is an interprime number because it is at equal distance from previous prime (83777) and next prime (83791).

It is an unprimeable number.

83784 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 (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1722 + ... + 1769.

It is an arithmetic number, because the mean of its divisors is an integer number (13095).

2⁸³⁷⁸⁴ is an apocalyptic number.

It is an amenable number.

83784 is an abundant number, since it is smaller than the sum of its proper divisors (125736).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104760).

83784 is a wasteful number, since it uses less digits than its factorization.

83784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3500 (or 3496 counting only the distinct ones).

The product of its digits is 5376, while the sum is 30.

The square root of 83784 is about 289.4546596619. The cubic root of 83784 is about 43.7576204413.

The spelling of 83784 in words is "eighty-three thousand, seven hundred eighty-four".