34014 has 8 divisors (see below), whose sum is σ = 68040. Its totient is φ = 11336.

The previous prime is 33997. The next prime is 34019. The reversal of 34014 is 41043.

34014 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

34014 is an admirable number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34019) by changing a digit.

34014 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2829 + ... + 2840.

It is an arithmetic number, because the mean of its divisors is an integer number (8505).

2³⁴⁰¹⁴ is an apocalyptic number.

34014 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 (34020).

34014 is a wasteful number, since it uses less digits than its factorization.

34014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5674.

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 34014 is about 184.4288480688. The cubic root of 34014 is about 32.4005639286.

Adding to 34014 its reverse (41043), we get a palindrome (75057).

The spelling of 34014 in words is "thirty-four thousand, fourteen".