8334 has 12 divisors (see below), whose sum is σ = 18096. Its totient is φ = 2772.

The previous prime is 8329. The next prime is 8353. The reversal of 8334 is 4338.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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: 463 = 8334 / (8 + 3 + 3 + 4).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 8334.

It is an unprimeable number.

8334 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 214 + ... + 249.

It is an arithmetic number, because the mean of its divisors is an integer number (1508).

2⁸³³⁴ is an apocalyptic number.

8334 is an abundant number, since it is smaller than the sum of its proper divisors (9762).

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

8334 is a wasteful number, since it uses less digits than its factorization.

8334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 468 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 8334 is about 91.2907443282. The cubic root of 8334 is about 20.2745472777.

The spelling of 8334 in words is "eight thousand, three hundred thirty-four".