34116 has 12 divisors (see below), whose sum is σ = 79632. Its totient is φ = 11368.

The previous prime is 34061. The next prime is 34123. The reversal of 34116 is 61143.

It is a tau number, because it is divible by the number of its divisors (12).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 34095 and 34104.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 34116.

It is an unprimeable number.

34116 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 1410 + ... + 1433.

It is an arithmetic number, because the mean of its divisors is an integer number (6636).

2³⁴¹¹⁶ is an apocalyptic number.

It is an amenable number.

34116 is an abundant number, since it is smaller than the sum of its proper divisors (45516).

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 (39816).

34116 is a wasteful number, since it uses less digits than its factorization.

34116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2850 (or 2848 counting only the distinct ones).

The product of its digits is 72, while the sum is 15.

The square root of 34116 is about 184.7051704745. The cubic root of 34116 is about 32.4329188365.

Adding to 34116 its reverse (61143), we get a palindrome (95259).

The spelling of 34116 in words is "thirty-four thousand, one hundred sixteen".