114884 has 24 divisors (see below), whose sum is σ = 251328. Its totient is φ = 44640.

The previous prime is 114883. The next prime is 114889. The reversal of 114884 is 488411.

114884 = T₉₁ + T₉₂ + ... + T₁₁₂.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (114883) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 122 + ... + 494.

It is an arithmetic number, because the mean of its divisors is an integer number (10472).

2¹¹⁴⁸⁸⁴ is an apocalyptic number.

114884 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125664).

114884 is an abundant number, since it is smaller than the sum of its proper divisors (136444).

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

114884 is a wasteful number, since it uses less digits than its factorization.

114884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 393 counting only the distinct ones).

The product of its digits is 1024, while the sum is 26.

The square root of 114884 is about 338.9454233354. The cubic root of 114884 is about 48.6130850415.

The spelling of 114884 in words is "one hundred fourteen thousand, eight hundred eighty-four".