820175 has 12 divisors (see below), whose sum is σ = 1037880. Its totient is φ = 642720.

The previous prime is 820163. The next prime is 820177. The reversal of 820175 is 571028.

It is not a de Polignac number, because 820175 - 2¹⁶ = 754639 is a prime.

It is an Ulam number.

It is a plaindrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 820175.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820177) 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, 1016 + ... + 1634.

It is an arithmetic number, because the mean of its divisors is an integer number (86490).

2⁸²⁰¹⁷⁵ is an apocalyptic number.

820175 is a deficient number, since it is larger than the sum of its proper divisors (217705).

820175 is a wasteful number, since it uses less digits than its factorization.

820175 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 23.

The square root of 820175 is about 905.6351362442. The cubic root of 820175 is about 93.6056742244.

The spelling of 820175 in words is "eight hundred twenty thousand, one hundred seventy-five".