33114 has 8 divisors (see below), whose sum is σ = 66240. Its totient is φ = 11036.

The previous prime is 33113. The next prime is 33119. The reversal of 33114 is 41133.

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

33114 is an admirable number.

It is a self number, because there is not a number n which added to its sum of digits gives 33114.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 33114.

It is not an unprimeable number, because it can be changed into a prime (33113) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2754 + ... + 2765.

It is an arithmetic number, because the mean of its divisors is an integer number (8280).

2³³¹¹⁴ is an apocalyptic number.

33114 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 (33120).

33114 is a wasteful number, since it uses less digits than its factorization.

33114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5524.

The product of its digits is 36, while the sum is 12.

The square root of 33114 is about 181.9725253988. The cubic root of 33114 is about 32.1122360937.

Adding to 33114 its reverse (41133), we get a palindrome (74247).

The spelling of 33114 in words is "thirty-three thousand, one hundred fourteen".