8175 has 12 divisors (see below), whose sum is σ = 13640. Its totient is φ = 4320.

The previous prime is 8171. The next prime is 8179. The reversal of 8175 is 5718.

It is a happy number.

8175 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (8171) and next prime (8179).

It is not a de Polignac number, because 8175 - 2² = 8171 is a prime.

8175 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8171) 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, 21 + ... + 129.

8175 is a deficient number, since it is larger than the sum of its proper divisors (5465).

8175 is a wasteful number, since it uses less digits than its factorization.

8175 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 117 counting only the distinct ones).

The product of its digits is 280, while the sum is 21.

The square root of 8175 is about 90.4157066001. The cubic root of 8175 is about 20.1447827027.

The spelling of 8175 in words is "eight thousand, one hundred seventy-five".