114820 has 12 divisors (see below), whose sum is σ = 241164. Its totient is φ = 45920.

The previous prime is 114809. The next prime is 114827. The reversal of 114820 is 28411.

114820 = T₉₇ + T₉₈ + ... + T₁₁₆.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 49284 + 65536 = 222^2 + 256^2 .

It is a junction number, because it is equal to n+sod(n) for n = 114794 and 114803.

It is a congruent number.

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, 2851 + ... + 2890.

It is an arithmetic number, because the mean of its divisors is an integer number (20097).

2¹¹⁴⁸²⁰ is an apocalyptic number.

114820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114820 is an abundant number, since it is smaller than the sum of its proper divisors (126344).

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

114820 is a wasteful number, since it uses less digits than its factorization.

114820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5750 (or 5748 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 114820 is about 338.8509997034. The cubic root of 114820 is about 48.6040561795.

The spelling of 114820 in words is "one hundred fourteen thousand, eight hundred twenty".