10175 has 12 divisors (see below), whose sum is σ = 14136. Its totient is φ = 7200.

The previous prime is 10169. The next prime is 10177. The reversal of 10175 is 57101.

It is not a de Polignac number, because 10175 - 2⁴ = 10159 is a prime.

It is a Duffinian number.

It is a plaindrome in base 8 and base 16.

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 257 + ... + 293.

It is an arithmetic number, because the mean of its divisors is an integer number (1178).

2¹⁰¹⁷⁵ is an apocalyptic number.

10175 is a deficient number, since it is larger than the sum of its proper divisors (3961).

10175 is a wasteful number, since it uses less digits than its factorization.

10175 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 35, while the sum is 14.

The square root of 10175 is about 100.8712050092. The cubic root of 10175 is about 21.6692961963.

Adding to 10175 its reverse (57101), we get a palindrome (67276).

The spelling of 10175 in words is "ten thousand, one hundred seventy-five".