58180 has 12 divisors (see below), whose sum is σ = 122220. Its totient is φ = 23264.

The previous prime is 58171. The next prime is 58189. The reversal of 58180 is 8185.

It is an interprime number because it is at equal distance from previous prime (58171) and next prime (58189).

It can be written as a sum of positive squares in 2 ways, for example, as 36864 + 21316 = 192^2 + 146^2 .

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (58189) 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 3 ways as a sum of consecutive naturals, for example, 1435 + ... + 1474.

It is an arithmetic number, because the mean of its divisors is an integer number (10185).

2⁵⁸¹⁸⁰ is an apocalyptic number.

It is an amenable number.

58180 is an abundant number, since it is smaller than the sum of its proper divisors (64040).

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 (61110).

58180 is a wasteful number, since it uses less digits than its factorization.

58180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2918 (or 2916 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 22.

The square root of 58180 is about 241.2053067410. The cubic root of 58180 is about 38.7487686046.

It can be divided in two parts, 58 and 180, that multiplied together give a triangular number (10440 = T₁₄₄).

The spelling of 58180 in words is "fifty-eight thousand, one hundred eighty".