114114 has 64 divisors (see below), whose sum is σ = 322560. Its totient is φ = 25920.

The previous prime is 114113. The next prime is 114143. The reversal of 114114 is 411411.

It is a self number, because there is not a number n which added to its sum of digits gives 114114.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5997 + ... + 6015.

It is an arithmetic number, because the mean of its divisors is an integer number (5040).

2¹¹⁴¹¹⁴ is an apocalyptic number.

114114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161280).

114114 is an abundant number, since it is smaller than the sum of its proper divisors (208446).

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

114114 is a wasteful number, since it uses less digits than its factorization.

114114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55.

The product of its digits is 16, while the sum is 12.

The square root of 114114 is about 337.8076375691. The cubic root of 114114 is about 48.5042331658.

Adding to 114114 its reverse (411411), we get a palindrome (525525).

It can be divided in two parts, 11 and 4114, that multiplied together give a palindrome (45254).

The spelling of 114114 in words is "one hundred fourteen thousand, one hundred fourteen", and thus it is an iban number.