587 has 2 divisors, whose sum is σ = 588. Its totient is φ = 586.

The previous prime is 577. The next prime is 593. The reversal of 587 is 785.

587 is nontrivially palindromic in base 11 and base 15.

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

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 587 - 2⁴ = 571 is a prime.

It is a Chen prime.

It is an alternating number because its digits alternate between odd and even.

587 is an undulating number in base 11 and base 15.

It is a plaindrome in base 7, base 8, base 14 and base 16.

It is a nialpdrome in base 5 and base 9.

It is not a weakly prime, because it can be changed into another prime (547) by changing a digit.

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

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 293 + 294.

It is an arithmetic number, because the mean of its divisors is an integer number (294).

587 is a deficient number, since it is larger than the sum of its proper divisors (1).

587 is an equidigital number, since it uses as much as digits as its factorization.

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

The product of its digits is 280, while the sum is 20.

The square root of 587 is about 24.2280828792. The cubic root of 587 is about 8.3729667597.

It can be divided in two parts, 58 and 7, that multiplied together give a triangular number (406 = T₂₈).

The spelling of 587 in words is "five hundred eighty-seven", and thus it is an aban number and an oban number.