6603 has 8 divisors (see below), whose sum is σ = 9216. Its totient is φ = 4200.

The previous prime is 6599. The next prime is 6607. The reversal of 6603 is 3066.

6603 is nontrivially palindromic in base 7.

It is an interprime number because it is at equal distance from previous prime (6599) and next prime (6607).

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

It is not a de Polignac number, because 6603 - 2² = 6599 is a prime.

It is a Smith number, since the sum of its digits (15) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a d-powerful number, because it can be written as 6 + 0 + 6² + 3⁸ .

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (6607) 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, 58 + ... + 128.

It is an arithmetic number, because the mean of its divisors is an integer number (1152).

2⁶⁶⁰³ is an apocalyptic number.

6603 is a deficient number, since it is larger than the sum of its proper divisors (2613).

6603 is a wasteful number, since it uses less digits than its factorization.

6603 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105.

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 6603 is about 81.2588456723. The cubic root of 6603 is about 18.7606162102.

Adding to 6603 its reverse (3066), we get a palindrome (9669).

The spelling of 6603 in words is "six thousand, six hundred three".