58536 has 32 divisors (see below), whose sum is σ = 163200. Its totient is φ = 19440.

The previous prime is 58511. The next prime is 58537. The reversal of 58536 is 63585.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (58537) by changing a digit.

58536 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 81 + ... + 351.

It is an arithmetic number, because the mean of its divisors is an integer number (5100).

2⁵⁸⁵³⁶ 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 58536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81600).

58536 is an abundant number, since it is smaller than the sum of its proper divisors (104664).

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

58536 is a wasteful number, since it uses less digits than its factorization.

58536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 276 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 58536 is about 241.9421418439. The cubic root of 58536 is about 38.8276417618.

The spelling of 58536 in words is "fifty-eight thousand, five hundred thirty-six".