33914 has 8 divisors (see below), whose sum is σ = 52608. Its totient is φ = 16380.

The previous prime is 33911. The next prime is 33923. The reversal of 33914 is 41933.

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

It is a Curzon number.

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (33911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 212 + ... + 335.

It is an arithmetic number, because the mean of its divisors is an integer number (6576).

2³³⁹¹⁴ is an apocalyptic number.

33914 is a deficient number, since it is larger than the sum of its proper divisors (18694).

33914 is a wasteful number, since it uses less digits than its factorization.

33914 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580.

The product of its digits is 324, while the sum is 20.

The square root of 33914 is about 184.1575412520. The cubic root of 33914 is about 32.3687805766.

It can be divided in two parts, 339 and 14, that added together give a palindrome (353).

The spelling of 33914 in words is "thirty-three thousand, nine hundred fourteen".