27834 has 8 divisors (see below), whose sum is σ = 55680. Its totient is φ = 9276.

The previous prime is 27827. The next prime is 27847. The reversal of 27834 is 43872.

It is a sphenic number, since it is the product of 3 distinct primes.

27834 is an admirable number.

It is an alternating number because its digits alternate between even and odd.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2314 + ... + 2325.

It is an arithmetic number, because the mean of its divisors is an integer number (6960).

2²⁷⁸³⁴ is an apocalyptic number.

27834 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27840).

27834 is a wasteful number, since it uses less digits than its factorization.

27834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4644.

The product of its digits is 1344, while the sum is 24.

The square root of 27834 is about 166.8352480743. The cubic root of 27834 is about 30.3057619558.

It can be divided in two parts, 27 and 834, that added together give a triangular number (861 = T₄₁).

The spelling of 27834 in words is "twenty-seven thousand, eight hundred thirty-four".