4175 has 6 divisors (see below), whose sum is σ = 5208. Its totient is φ = 3320.

The previous prime is 4159. The next prime is 4177. The reversal of 4175 is 5714.

It is a happy number.

It is not a de Polignac number, because 4175 - 2⁴ = 4159 is a prime.

It is a Duffinian number.

It is a plaindrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4177) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 59 + ... + 108.

It is an arithmetic number, because the mean of its divisors is an integer number (868).

2⁴¹⁷⁵ is an apocalyptic number.

4175 is a deficient number, since it is larger than the sum of its proper divisors (1033).

4175 is a wasteful number, since it uses less digits than its factorization.

4175 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 172 counting only the distinct ones).

The product of its digits is 140, while the sum is 17.

The square root of 4175 is about 64.6142399166. The cubic root of 4175 is about 16.1022102594.

Adding to 4175 its reverse (5714), we get a palindrome (9889).

The spelling of 4175 in words is "four thousand, one hundred seventy-five".