33546 has 8 divisors (see below), whose sum is σ = 67104. Its totient is φ = 11180.

The previous prime is 33533. The next prime is 33547. The reversal of 33546 is 64533.

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

33546 is an admirable number.

It is a super-2 number, since 2×33546² = 2250668232, which contains 22 as substring.

It is a plaindrome in base 13.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33547) by changing a digit.

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, 2790 + ... + 2801.

It is an arithmetic number, because the mean of its divisors is an integer number (8388).

2³³⁵⁴⁶ is an apocalyptic number.

33546 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 (33552).

33546 is a wasteful number, since it uses less digits than its factorization.

33546 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5596.

The product of its digits is 1080, while the sum is 21.

The square root of 33546 is about 183.1556714929. The cubic root of 33546 is about 32.2512769160.

The spelling of 33546 in words is "thirty-three thousand, five hundred forty-six".