45834 has 8 divisors (see below), whose sum is σ = 91680. Its totient is φ = 15276.

The previous prime is 45833. The next prime is 45841. The reversal of 45834 is 43854.

It is a happy number.

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

45834 is an admirable number.

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

It is a plaindrome in base 14.

It is a nialpdrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (45833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3814 + ... + 3825.

It is an arithmetic number, because the mean of its divisors is an integer number (11460).

2⁴⁵⁸³⁴ is an apocalyptic number.

45834 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 (45840).

45834 is a wasteful number, since it uses less digits than its factorization.

45834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7644.

The product of its digits is 1920, while the sum is 24.

The square root of 45834 is about 214.0887666366. The cubic root of 45834 is about 35.7873263296.

The spelling of 45834 in words is "forty-five thousand, eight hundred thirty-four".