58116 has 24 divisors (see below), whose sum is σ = 141120. Its totient is φ = 18592.

The previous prime is 58111. The next prime is 58129. The reversal of 58116 is 61185.

It is a plaindrome in base 15.

It is a nialpdrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 58092 and 58101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58111) by changing a digit.

58116 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 7 ways as a sum of consecutive naturals, for example, 265 + ... + 431.

It is an arithmetic number, because the mean of its divisors is an integer number (5880).

2⁵⁸¹¹⁶ 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 58116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70560).

58116 is an abundant number, since it is smaller than the sum of its proper divisors (83004).

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

58116 is a wasteful number, since it uses less digits than its factorization.

58116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 201 counting only the distinct ones).

The product of its digits is 240, while the sum is 21.

The square root of 58116 is about 241.0726031717. The cubic root of 58116 is about 38.7345550657.

The spelling of 58116 in words is "fifty-eight thousand, one hundred sixteen".