33834 has 8 divisors (see below), whose sum is σ = 67680. Its totient is φ = 11276.

The previous prime is 33829. The next prime is 33851. The reversal of 33834 is 43833.

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

33834 is an admirable number.

It is a super-2 number, since 2×33834² = 2289479112, which contains 22 as substring.

It is a plaindrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 33834.

It is an unprimeable number.

33834 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 3 ways as a sum of consecutive naturals, for example, 2814 + ... + 2825.

It is an arithmetic number, because the mean of its divisors is an integer number (8460).

2³³⁸³⁴ is an apocalyptic number.

33834 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 (33840).

33834 is a wasteful number, since it uses less digits than its factorization.

33834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5644.

The product of its digits is 864, while the sum is 21.

The square root of 33834 is about 183.9402076763. The cubic root of 33834 is about 32.3433088810.

Subtracting 33834 from its reverse (43833), we obtain a palindrome (9999).

The spelling of 33834 in words is "thirty-three thousand, eight hundred thirty-four".