114208 has 24 divisors (see below), whose sum is σ = 232848. Its totient is φ = 55104.

The previous prime is 114203. The next prime is 114217. The reversal of 114208 is 802411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 114191 and 114200.

It is not an unprimeable number, because it can be changed into a prime (114203) by changing a digit.

114208 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, 1335 + ... + 1417.

It is an arithmetic number, because the mean of its divisors is an integer number (9702).

2¹¹⁴²⁰⁸ 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 114208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116424).

114208 is an abundant number, since it is smaller than the sum of its proper divisors (118640).

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

114208 is an equidigital number, since it uses as much as digits as its factorization.

114208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 128 counting only the distinct ones).

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

The square root of 114208 is about 337.9467413662. The cubic root of 114208 is about 48.5175477651.

Adding to 114208 its reverse (802411), we get a palindrome (916619).

The spelling of 114208 in words is "one hundred fourteen thousand, two hundred eight".