58218 has 16 divisors (see below), whose sum is σ = 120576. Its totient is φ = 18720.

The previous prime is 58217. The next prime is 58229. The reversal of 58218 is 81285.

58218 is nontrivially palindromic in base 5.

It is a Curzon number.

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (58211) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30 + ... + 342.

It is an arithmetic number, because the mean of its divisors is an integer number (7536).

2⁵⁸²¹⁸ is an apocalyptic number.

58218 is an abundant number, since it is smaller than the sum of its proper divisors (62358).

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 (60288).

58218 is a wasteful number, since it uses less digits than its factorization.

58218 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349.

The product of its digits is 640, while the sum is 24.

The square root of 58218 is about 241.2840649525. The cubic root of 58218 is about 38.7572029621.

It can be divided in two parts, 58 and 218, that added together give a triangular number (276 = T₂₃).

The spelling of 58218 in words is "fifty-eight thousand, two hundred eighteen".