114784 has 24 divisors (see below), whose sum is σ = 240408. Its totient is φ = 53760.

The previous prime is 114781. The next prime is 114797. The reversal of 114784 is 487411.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114781) by changing a digit.

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, 439 + ... + 649.

It is an arithmetic number, because the mean of its divisors is an integer number (10017).

2¹¹⁴⁷⁸⁴ 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 114784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120204).

114784 is an abundant number, since it is smaller than the sum of its proper divisors (125624).

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

114784 is a wasteful number, since it uses less digits than its factorization.

114784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 230 counting only the distinct ones).

The product of its digits is 896, while the sum is 25.

The square root of 114784 is about 338.7978748458. The cubic root of 114784 is about 48.5989759701.

It can be divided in two parts, 114 and 784, that added together give a palindrome (898).

The spelling of 114784 in words is "one hundred fourteen thousand, seven hundred eighty-four".