58206 has 16 divisors (see below), whose sum is σ = 118800. Its totient is φ = 19008.

The previous prime is 58199. The next prime is 58207. The reversal of 58206 is 60285.

It is a happy number.

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58207) 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, 480 + ... + 588.

It is an arithmetic number, because the mean of its divisors is an integer number (7425).

2⁵⁸²⁰⁶ is an apocalyptic number.

58206 is an abundant number, since it is smaller than the sum of its proper divisors (60594).

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 (59400).

58206 is a wasteful number, since it uses less digits than its factorization.

58206 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203.

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 58206 is about 241.2591967159. The cubic root of 58206 is about 38.7545398774.

Subtracting from 58206 its sum of digits (21), we obtain a palindrome (58185).

The spelling of 58206 in words is "fifty-eight thousand, two hundred six".