58242 has 16 divisors (see below), whose sum is σ = 123552. Its totient is φ = 18240.

The previous prime is 58237. The next prime is 58243. The reversal of 58242 is 24285.

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 (58243) 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, 184 + ... + 387.

It is an arithmetic number, because the mean of its divisors is an integer number (7722).

2⁵⁸²⁴² is an apocalyptic number.

58242 is an abundant number, since it is smaller than the sum of its proper divisors (65310).

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 (61776).

58242 is a wasteful number, since it uses less digits than its factorization.

58242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593.

The product of its digits is 640, while the sum is 21.

The square root of 58242 is about 241.3337937381. Note that the first 3 decimals coincide. The cubic root of 58242 is about 38.7625280338.

It can be divided in two parts, 58 and 242, that added together give a triangular number (300 = T₂₄).

The spelling of 58242 in words is "fifty-eight thousand, two hundred forty-two".