6675 has 12 divisors (see below), whose sum is σ = 11160. Its totient is φ = 3520.

The previous prime is 6673. The next prime is 6679. The reversal of 6675 is 5766.

It is not a de Polignac number, because 6675 - 2¹ = 6673 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 6675.

It is not an unprimeable number, because it can be changed into a prime (6673) 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, 31 + ... + 119.

It is an arithmetic number, because the mean of its divisors is an integer number (930).

2⁶⁶⁷⁵ is an apocalyptic number.

6675 is a deficient number, since it is larger than the sum of its proper divisors (4485).

6675 is a wasteful number, since it uses less digits than its factorization.

6675 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 97 counting only the distinct ones).

The product of its digits is 1260, while the sum is 24.

The square root of 6675 is about 81.7006731918. The cubic root of 6675 is about 18.8285592793.

Subtracting from 6675 its reverse (5766), we obtain a palindrome (909).

It can be divided in two parts, 66 and 75, that multiplied together give a triangular number (4950 = T₉₉).

The spelling of 6675 in words is "six thousand, six hundred seventy-five".