15003 has 6 divisors (see below), whose sum is σ = 21684. Its totient is φ = 9996.

The previous prime is 14983. The next prime is 15013. The reversal of 15003 is 30051.

It is not a de Polignac number, because 15003 - 2⁶ = 14939 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 1667 = 15003 / (1 + 5 + 0 + 0 + 3).

15003 is a lucky number.

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (15013) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 825 + ... + 842.

It is an arithmetic number, because the mean of its divisors is an integer number (3614).

15003 is a Friedman number, since it can be written as 5001*3, using all its digits and the basic arithmetic operations.

2¹⁵⁰⁰³ is an apocalyptic number.

15003 is a deficient number, since it is larger than the sum of its proper divisors (6681).

15003 is a wasteful number, since it uses less digits than its factorization.

15003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1673 (or 1670 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 9.

The square root of 15003 is about 122.4867339756. The cubic root of 15003 is about 24.6637647751.

Adding to 15003 its reverse (30051), we get a palindrome (45054).

The spelling of 15003 in words is "fifteen thousand, three".