6975 has 18 divisors (see below), whose sum is σ = 12896. Its totient is φ = 3600.

The previous prime is 6971. The next prime is 6977. The reversal of 6975 is 5796.

6975 = T₁₀ + T₁₁ + ... + T₃₄.

It is not a de Polignac number, because 6975 - 2² = 6971 is a prime.

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6971) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 210 + ... + 240.

2⁶⁹⁷⁵ is an apocalyptic number.

6975 is the 45-th nonagonal number.

6975 is a deficient number, since it is larger than the sum of its proper divisors (5921).

6975 is a wasteful number, since it uses less digits than its factorization.

6975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 39 counting only the distinct ones).

The product of its digits is 1890, while the sum is 27.

The square root of 6975 is about 83.5164654425. The cubic root of 6975 is about 19.1065116728.

It can be divided in two parts, 69 and 75, that added together give a square (144 = 12²).

The spelling of 6975 in words is "six thousand, nine hundred seventy-five".