114288 has 20 divisors (see below), whose sum is σ = 295368. Its totient is φ = 38080.

The previous prime is 114281. The next prime is 114299. The reversal of 114288 is 882411.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

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 114288.

It is not an unprimeable number, because it can be changed into a prime (114281) by changing a digit.

114288 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 3 ways as a sum of consecutive naturals, for example, 1143 + ... + 1238.

2¹¹⁴²⁸⁸ is an apocalyptic number.

It is an amenable number.

114288 is an abundant number, since it is smaller than the sum of its proper divisors (181080).

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

114288 is a wasteful number, since it uses less digits than its factorization.

114288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2392 (or 2386 counting only the distinct ones).

The product of its digits is 512, while the sum is 24.

The square root of 114288 is about 338.0650824915. The cubic root of 114288 is about 48.5288735856.

Adding to 114288 its reverse (882411), we get a palindrome (996699).

The spelling of 114288 in words is "one hundred fourteen thousand, two hundred eighty-eight".