114268 has 36 divisors (see below), whose sum is σ = 258552. Its totient is φ = 43680.

The previous prime is 114259. The next prime is 114269. The reversal of 114268 is 862411.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a plaindrome in base 15.

It is a nialpdrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2130 + ... + 2182.

It is an arithmetic number, because the mean of its divisors is an integer number (7182).

114268 is a Friedman number, since it can be written as 8162*14, using all its digits and the basic arithmetic operations.

2¹¹⁴²⁶⁸ 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 114268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129276).

114268 is an abundant number, since it is smaller than the sum of its proper divisors (144284).

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

114268 is a wasteful number, since it uses less digits than its factorization.

114268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 73 counting only the distinct ones).

The product of its digits is 384, while the sum is 22.

The square root of 114268 is about 338.0355010942. The cubic root of 114268 is about 48.5260426261.

Adding to 114268 its reverse (862411), we get a palindrome (976679).

The spelling of 114268 in words is "one hundred fourteen thousand, two hundred sixty-eight".