334116 has 18 divisors (see below), whose sum is σ = 844662. Its totient is φ = 111360.

The previous prime is 334099. The next prime is 334127. The reversal of 334116 is 611433.

It can be written as a sum of positive squares in only one way, i.e., 324900 + 9216 = 570^2 + 96^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×334116² = 223267002912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 334116.

It is an unprimeable number.

334116 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 (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4605 + ... + 4676.

2³³⁴¹¹⁶ is an apocalyptic number.

334116 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

334116 is an abundant number, since it is smaller than the sum of its proper divisors (510546).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

334116 is a wasteful number, since it uses less digits than its factorization.

334116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9291 (or 9286 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 334116 is about 578.0276809981. The cubic root of 334116 is about 69.3903520931.

Adding to 334116 its reverse (611433), we get a palindrome (945549).

The spelling of 334116 in words is "three hundred thirty-four thousand, one hundred sixteen".