33350 has 24 divisors (see below), whose sum is σ = 66960. Its totient is φ = 12320.

The previous prime is 33349. The next prime is 33353. The reversal of 33350 is 5333.

It is a super-2 number, since 2×33350² = 2224445000, which contains 22 as substring.

It is a Curzon number.

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 (33353) 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 11 ways as a sum of consecutive naturals, for example, 1136 + ... + 1164.

It is an arithmetic number, because the mean of its divisors is an integer number (2790).

2³³³⁵⁰ is an apocalyptic number.

33350 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 (33480).

33350 is a wasteful number, since it uses less digits than its factorization.

33350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 14.

The square root of 33350 is about 182.6198236775. The cubic root of 33350 is about 32.1883424230.

Adding to 33350 its reverse (5333), we get a palindrome (38683).

It can be divided in two parts, 333 and 50, that added together give a palindrome (383).

The spelling of 33350 in words is "thirty-three thousand, three hundred fifty".