15005 has 4 divisors (see below), whose sum is σ = 18012. Its totient is φ = 12000.

The previous prime is 14983. The next prime is 15013. The reversal of 15005 is 50051.

15005 is nontrivially palindromic in base 9 and base 11.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 6724 + 8281 = 82^2 + 91^2 .

It is not a de Polignac number, because 15005 - 2¹² = 10909 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a plaindrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1496 + ... + 1505.

It is an arithmetic number, because the mean of its divisors is an integer number (4503).

2¹⁵⁰⁰⁵ is an apocalyptic number.

It is an amenable number.

15005 is a deficient number, since it is larger than the sum of its proper divisors (3007).

15005 is an equidigital number, since it uses as much as digits as its factorization.

15005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3006.

The product of its (nonzero) digits is 25, while the sum is 11.

The square root of 15005 is about 122.4948978529. The cubic root of 15005 is about 24.6648606745.

Adding to 15005 its reverse (50051), we get a palindrome (65056).

The spelling of 15005 in words is "fifteen thousand, five".