10082175 has 24 divisors (see below), whose sum is σ = 16784640. Its totient is φ = 5340000.

The previous prime is 10082129. The next prime is 10082203. The reversal of 10082175 is 57128001.

It is not a de Polignac number, because 10082175 - 2¹⁰ = 10081151 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13050 + ... + 13800.

It is an arithmetic number, because the mean of its divisors is an integer number (699360).

Almost surely, 2^10082175 is an apocalyptic number.

10082175 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10082175 is a deficient number, since it is larger than the sum of its proper divisors (6702465).

10082175 is a wasteful number, since it uses less digits than its factorization.

10082175 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 943 (or 938 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 24.

The square root of 10082175 is about 3175.2440851059. The cubic root of 10082175 is about 216.0319954318.

The spelling of 10082175 in words is "ten million, eighty-two thousand, one hundred seventy-five".