81834 has 16 divisors (see below), whose sum is σ = 171072. Its totient is φ = 26048.

The previous prime is 81817. The next prime is 81839. The reversal of 81834 is 43818.

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

It is not an unprimeable number, because it can be changed into a prime (81839) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 159 + ... + 434.

It is an arithmetic number, because the mean of its divisors is an integer number (10692).

2⁸¹⁸³⁴ is an apocalyptic number.

81834 is an abundant number, since it is smaller than the sum of its proper divisors (89238).

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 (85536).

81834 is a wasteful number, since it uses less digits than its factorization.

81834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621.

The product of its digits is 768, while the sum is 24.

The square root of 81834 is about 286.0664258525. The cubic root of 81834 is about 43.4154786330.

Subtracting from 81834 its sum of digits (24), we obtain a triangular number (81810 = T₄₀₄).

The spelling of 81834 in words is "eighty-one thousand, eight hundred thirty-four".