84114 has 12 divisors (see below), whose sum is σ = 182286. Its totient is φ = 28032.

The previous prime is 84089. The next prime is 84121. The reversal of 84114 is 41148.

84114 is nontrivially palindromic in base 14.

It can be written as a sum of positive squares in only one way, i.e., 50625 + 33489 = 225^2 + 183^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 4673 = 84114 / (8 + 4 + 1 + 1 + 4).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2319 + ... + 2354.

2⁸⁴¹¹⁴ is an apocalyptic number.

84114 is an abundant number, since it is smaller than the sum of its proper divisors (98172).

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

84114 is a wasteful number, since it uses less digits than its factorization.

84114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4681 (or 4678 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

The square root of 84114 is about 290.0241369266. The cubic root of 84114 is about 43.8149945534.

The spelling of 84114 in words is "eighty-four thousand, one hundred fourteen".