15885 has 12 divisors (see below), whose sum is σ = 27612. Its totient is φ = 8448.

The previous prime is 15881. The next prime is 15887. The reversal of 15885 is 58851.

It can be written as a sum of positive squares in 2 ways, for example, as 6084 + 9801 = 78^2 + 99^2 .

It is not a de Polignac number, because 15885 - 2² = 15881 is a prime.

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 15885.

It is not an unprimeable number, because it can be changed into a prime (15881) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 132 + ... + 221.

It is an arithmetic number, because the mean of its divisors is an integer number (2301).

2¹⁵⁸⁸⁵ is an apocalyptic number.

15885 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

15885 is a deficient number, since it is larger than the sum of its proper divisors (11727).

15885 is a wasteful number, since it uses less digits than its factorization.

15885 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 361 counting only the distinct ones).

The product of its digits is 1600, while the sum is 27.

The square root of 15885 is about 126.0357092256. The cubic root of 15885 is about 25.1379045612.

It can be divided in two parts, 158 and 85, that added together give a 5-th power (243 = 3⁵).

The spelling of 15885 in words is "fifteen thousand, eight hundred eighty-five".