334113 has 12 divisors (see below), whose sum is σ = 483120. Its totient is φ = 205296.

The previous prime is 334099. The next prime is 334127. The reversal of 334113 is 311433.

334113 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (334099) and next prime (334127).

It is not a de Polignac number, because 334113 - 2⁶ = 334049 is a prime.

It is a super-2 number, since 2×334113² = 223262993538, which contains 22 as substring.

It is an Ulam number.

334113 is strictly pandigital in base 7.

334113 is a lucky number.

It is a nialpdrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 334092 and 334101.

It is not an unprimeable number, because it can be changed into a prime (334133) 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 11 ways as a sum of consecutive naturals, for example, 178 + ... + 836.

It is an arithmetic number, because the mean of its divisors is an integer number (40260).

2³³⁴¹¹³ is an apocalyptic number.

It is an amenable number.

334113 is a deficient number, since it is larger than the sum of its proper divisors (149007).

334113 is a wasteful number, since it uses less digits than its factorization.

334113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 675 counting only the distinct ones).

The product of its digits is 108, while the sum is 15.

The square root of 334113 is about 578.0250859608. The cubic root of 334113 is about 69.3901444091.

Adding to 334113 its reverse (311433), we get a palindrome (645546).

The spelling of 334113 in words is "three hundred thirty-four thousand, one hundred thirteen".