58530 has 16 divisors (see below), whose sum is σ = 140544. Its totient is φ = 15600.

The previous prime is 58511. The next prime is 58537. The reversal of 58530 is 3585.

It is a nialpdrome in base 5.

It is a junction number, because it is equal to n+sod(n) for n = 58497 and 58506.

It is not an unprimeable number, because it can be changed into a prime (58537) 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 7 ways as a sum of consecutive naturals, for example, 946 + ... + 1005.

It is an arithmetic number, because the mean of its divisors is an integer number (8784).

2⁵⁸⁵³⁰ is an apocalyptic number.

58530 is an abundant number, since it is smaller than the sum of its proper divisors (82014).

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 (70272).

58530 is a wasteful number, since it uses less digits than its factorization.

58530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1961.

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 58530 is about 241.9297418673. The cubic root of 58530 is about 38.8263150921.

Subtracting from 58530 its reverse (3585), we obtain a palindrome (54945).

The spelling of 58530 in words is "fifty-eight thousand, five hundred thirty".