305116 has 24 divisors (see below), whose sum is σ = 647136. Its totient is φ = 122880.

The previous prime is 305113. The next prime is 305119. The reversal of 305116 is 611503.

It is an interprime number because it is at equal distance from previous prime (305113) and next prime (305119).

It is a self number, because there is not a number n which added to its sum of digits gives 305116.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 156 + ... + 796.

It is an arithmetic number, because the mean of its divisors is an integer number (26964).

2³⁰⁵¹¹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 305116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323568).

305116 is an abundant number, since it is smaller than the sum of its proper divisors (342020).

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

305116 is a wasteful number, since it uses less digits than its factorization.

305116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 305116 is about 552.3730623410. The cubic root of 305116 is about 67.3216875806.

Adding to 305116 its reverse (611503), we get a palindrome (916619).

The spelling of 305116 in words is "three hundred five thousand, one hundred sixteen".