84784 has 20 divisors (see below), whose sum is σ = 187984. Its totient is φ = 36288.

The previous prime is 84761. The next prime is 84787. The reversal of 84784 is 48748.

84784 is nontrivially palindromic in base 3.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (84787) by changing a digit.

84784 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, 267 + ... + 490.

2⁸⁴⁷⁸⁴ is an apocalyptic number.

It is an amenable number.

84784 is an abundant number, since it is smaller than the sum of its proper divisors (103200).

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 (93992).

84784 is a wasteful number, since it uses less digits than its factorization.

84784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 766 counting only the distinct ones).

The product of its digits is 7168, while the sum is 31.

The square root of 84784 is about 291.1769221625. The cubic root of 84784 is about 43.9310213956.

It can be divided in two parts, 84 and 784, that multiplied together give a palindrome (65856).

The spelling of 84784 in words is "eighty-four thousand, seven hundred eighty-four".