96784 has 20 divisors (see below), whose sum is σ = 196416. Its totient is φ = 46112.

The previous prime is 96779. The next prime is 96787. The reversal of 96784 is 48769.

96784 = T₈₀ + T₈₁ + ... + T₁₀₂.

Its product of digits (12096) is a multiple of the sum of its prime divisors (288).

It is a plaindrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (96787) by changing a digit.

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, 237 + ... + 499.

2⁹⁶⁷⁸⁴ 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 96784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98208).

96784 is an abundant number, since it is smaller than the sum of its proper divisors (99632).

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

96784 is a wasteful number, since it uses less digits than its factorization.

96784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 288 counting only the distinct ones).

The product of its digits is 12096, while the sum is 34.

The square root of 96784 is about 311.1012696856. The cubic root of 96784 is about 45.9128785793.

The spelling of 96784 in words is "ninety-six thousand, seven hundred eighty-four".