5175 has 18 divisors (see below), whose sum is σ = 9672. Its totient is φ = 2640.

The previous prime is 5171. The next prime is 5179. The reversal of 5175 is 5715.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5171) and next prime (5179).

It is not a de Polignac number, because 5175 - 2² = 5171 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 214 + ... + 236.

2⁵¹⁷⁵ is an apocalyptic number.

5175 is a deficient number, since it is larger than the sum of its proper divisors (4497).

5175 is a wasteful number, since it uses less digits than its factorization.

5175 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39 (or 31 counting only the distinct ones).

The product of its digits is 175, while the sum is 18.

The square root of 5175 is about 71.9374728497. The cubic root of 5175 is about 17.2969734200.

The spelling of 5175 in words is "five thousand, one hundred seventy-five".