114824 has 16 divisors (see below), whose sum is σ = 222720. Its totient is φ = 55440.

The previous prime is 114809. The next prime is 114827. The reversal of 114824 is 428411.

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

It is a junction number, because it is equal to n+sod(n) for n = 114796 and 114805.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 114824.

It is not an unprimeable number, because it can be changed into a prime (114827) 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, 17 + ... + 479.

It is an arithmetic number, because the mean of its divisors is an integer number (13920).

2¹¹⁴⁸²⁴ is an apocalyptic number.

It is an amenable number.

114824 is a deficient number, since it is larger than the sum of its proper divisors (107896).

114824 is a wasteful number, since it uses less digits than its factorization.

114824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 496 counting only the distinct ones).

The product of its digits is 256, while the sum is 20.

The square root of 114824 is about 338.8569019513. The cubic root of 114824 is about 48.6046205817.

The spelling of 114824 in words is "one hundred fourteen thousand, eight hundred twenty-four".