114856 has 24 divisors (see below), whose sum is σ = 251370. Its totient is φ = 49056.

The previous prime is 114847. The next prime is 114859. The reversal of 114856 is 658411.

It can be written as a sum of positive squares in only one way, i.e., 70756 + 44100 = 266^2 + 210^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 114856.

It is not an unprimeable number, because it can be changed into a prime (114859) by changing a digit.

114856 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 246 + ... + 538.

2¹¹⁴⁸⁵⁶ is an apocalyptic number.

114856 is the 196-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125685).

114856 is an abundant number, since it is smaller than the sum of its proper divisors (136514).

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

114856 is a wasteful number, since it uses less digits than its factorization.

114856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 302 counting only the distinct ones).

The product of its digits is 960, while the sum is 25.

The square root of 114856 is about 338.9041162335. The cubic root of 114856 is about 48.6091353271.

The spelling of 114856 in words is "one hundred fourteen thousand, eight hundred fifty-six".