• 586^{2} = 343396 is the smallest square that contains exactly three digits '3'.

• 586 can be written using four 4's:

586 has 4 divisors (see below), whose sum is σ = 882. Its totient is φ = 292.

The previous prime is 577. The next prime is 587. The reversal of 586 is 685.

586 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

586 is an esthetic number in base 5, because in such base its adjacent digits differ by 1.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 685 = 5 ⋅137.

It can be written as a sum of positive squares in only one way, i.e., 361 + 225 = 19^2 + 15^2 .

It is a plaindrome in base 8 and base 16.

It is a nialpdrome in base 5 and base 9.

It is not an unprimeable number, because it can be changed into a prime (587) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 145 + ... + 148.

586 is a deficient number, since it is larger than the sum of its proper divisors (296).

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

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

The sum of its prime factors is 295.

The product of its digits is 240, while the sum is 19.

The square root of 586 is about 24.2074368738. The cubic root of 586 is about 8.3682093912.

Subtracting 586 from its reverse (685), we obtain a palindrome (99).

It can be divided in two parts, 58 and 6, that added together give a 6-th power (64 = 2^{6}).

The spelling of 586 in words is "five hundred eighty-six", and thus it is an aban number and an oban number.

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