33846 has 8 divisors (see below), whose sum is σ = 67704. Its totient is φ = 11280.

The previous prime is 33829. The next prime is 33851. The reversal of 33846 is 64833.

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

33846 is an admirable number.

It is a super-2 number, since 2×33846² = 2291103432, which contains 22 as substring.

It is a d-powerful number, because it can be written as 3² + 3² + 8⁵ + 4⁵ + 6² .

It is a plaindrome in base 11.

It is a congruent number.

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, 2815 + ... + 2826.

It is an arithmetic number, because the mean of its divisors is an integer number (8463).

2³³⁸⁴⁶ is an apocalyptic number.

33846 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 (33852).

33846 is a wasteful number, since it uses less digits than its factorization.

33846 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5646.

The product of its digits is 1728, while the sum is 24.

The square root of 33846 is about 183.9728240801. The cubic root of 33846 is about 32.3471321932.

The spelling of 33846 in words is "thirty-three thousand, eight hundred forty-six".