13587 has 8 divisors (see below), whose sum is σ = 20736. Its totient is φ = 7752.

The previous prime is 13577. The next prime is 13591. The reversal of 13587 is 78531.

13587 is nontrivially palindromic in base 8.

13587 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 13587 - 2⁶ = 13523 is a prime.

13587 is a lucky number.

It is a nialpdrome in base 7.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 13587.

It is not an unprimeable number, because it can be changed into a prime (13537) 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, 303 + ... + 344.

It is an arithmetic number, because the mean of its divisors is an integer number (2592).

2¹³⁵⁸⁷ is an apocalyptic number.

13587 is a deficient number, since it is larger than the sum of its proper divisors (7149).

13587 is an equidigital number, since it uses as much as digits as its factorization.

13587 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657.

The product of its digits is 840, while the sum is 24.

The square root of 13587 is about 116.5632875309. The cubic root of 13587 is about 23.8620558838.

It can be divided in two parts, 135 and 87, that added together give a palindrome (222).

The spelling of 13587 in words is "thirteen thousand, five hundred eighty-seven".