58182 has 8 divisors (see below), whose sum is σ = 116376. Its totient is φ = 19392.

The previous prime is 58171. The next prime is 58189. The reversal of 58182 is 28185.

58182 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

58182 is an admirable number.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58189) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4843 + ... + 4854.

It is an arithmetic number, because the mean of its divisors is an integer number (14547).

2⁵⁸¹⁸² is an apocalyptic number.

58182 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (58188).

58182 is a wasteful number, since it uses less digits than its factorization.

58182 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9702.

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

The square root of 58182 is about 241.2094525511. The cubic root of 58182 is about 38.7492126097.

The spelling of 58182 in words is "fifty-eight thousand, one hundred eighty-two".