15585 has 8 divisors (see below), whose sum is σ = 24960. Its totient is φ = 8304.

The previous prime is 15583. The next prime is 15601. The reversal of 15585 is 58551.

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

It is not a de Polignac number, because 15585 - 2¹ = 15583 is a prime.

15585 is a lucky number.

It is a plaindrome in base 9.

It is a nialpdrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15581) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 505 + ... + 534.

It is an arithmetic number, because the mean of its divisors is an integer number (3120).

15585 is a Friedman number, since it can be written as 5^(5+1)-8*5, using all its digits and the basic arithmetic operations.

2¹⁵⁵⁸⁵ is an apocalyptic number.

15585 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

15585 is a deficient number, since it is larger than the sum of its proper divisors (9375).

15585 is a wasteful number, since it uses less digits than its factorization.

15585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1047.

The product of its digits is 1000, while the sum is 24.

The square root of 15585 is about 124.8398974687. The cubic root of 15585 is about 24.9786484363.

The spelling of 15585 in words is "fifteen thousand, five hundred eighty-five".