8003 has 4 divisors (see below), whose sum is σ = 8208. Its totient is φ = 7800.

The previous prime is 7993. The next prime is 8009. The reversal of 8003 is 3008.

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

It is a cyclic number.

It is not a de Polignac number, because 8003 - 2¹² = 3907 is a prime.

It is a Duffinian number.

It is a plaindrome in base 15.

It is a nialpdrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (8009) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 23 + ... + 128.

It is an arithmetic number, because the mean of its divisors is an integer number (2052).

2⁸⁰⁰³ is an apocalyptic number.

8003 is a deficient number, since it is larger than the sum of its proper divisors (205).

8003 is a wasteful number, since it uses less digits than its factorization.

8003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204.

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 8003 is about 89.4594880379. The cubic root of 8003 is about 20.0024996876.

Adding to 8003 its reverse (3008), we get a palindrome (11011).

The spelling of 8003 in words is "eight thousand, three".