33414 has 8 divisors (see below), whose sum is σ = 66840. Its totient is φ = 11136.

The previous prime is 33413. The next prime is 33427. The reversal of 33414 is 41433.

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

33414 is an admirable number.

It is a super-2 number, since 2×33414² = 2232990792, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33393 and 33402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33413) 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, 2779 + ... + 2790.

It is an arithmetic number, because the mean of its divisors is an integer number (8355).

2³³⁴¹⁴ is an apocalyptic number.

33414 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 (33420).

33414 is a wasteful number, since it uses less digits than its factorization.

33414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5574.

The product of its digits is 144, while the sum is 15.

The square root of 33414 is about 182.7949671080. The cubic root of 33414 is about 32.2089195099.

Adding to 33414 its reverse (41433), we get a palindrome (74847).

The spelling of 33414 in words is "thirty-three thousand, four hundred fourteen".