558 has 12 divisors (see below), whose sum is σ = 1248. Its totient is φ = 180.

The previous prime is 557. The next prime is 563. The reversal of 558 is 855.

Adding to 558 its sum of digits (18), we get a square (576 = 24^{2}).

558 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×558^{3} = 521223336, which contains 333 as substring. Note that it is a super-*d* number also for *d* = 2.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 31 = 558 / (5 + 5 + 8).

It is a Curzon number.

It is a plaindrome in base 10, base 11, base 13, base 14 and base 16.

It is a self number, because there is not a number *n* which added to its sum of digits gives 558.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3 + ... + 33.

It is an arithmetic number, because the mean of its divisors is an integer number (104).

It is a practical number, because each smaller number is the sum of distinct divisors of 558, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624).

558 is an abundant number, since it is smaller than the sum of its proper divisors (690).

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

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

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

The sum of its prime factors is 39 (or 36 counting only the distinct ones).

The product of its digits is 200, while the sum is 18.

The square root of 558 is about 23.6220236220. The cubic root of 558 is about 8.2327463107.

The spelling of 558 in words is "five hundred fifty-eight", and thus it is an aban number and an oban number.

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