827875 has 16 divisors (see below), whose sum is σ = 1067040. Its totient is φ = 640800.

The previous prime is 827873. The next prime is 827899. The reversal of 827875 is 578728.

827875 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 827875 - 2¹ = 827873 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (827873) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4536 + ... + 4714.

It is an arithmetic number, because the mean of its divisors is an integer number (66690).

2⁸²⁷⁸⁷⁵ is an apocalyptic number.

827875 is a deficient number, since it is larger than the sum of its proper divisors (239165).

827875 is a wasteful number, since it uses less digits than its factorization.

827875 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 221 counting only the distinct ones).

The product of its digits is 31360, while the sum is 37.

The square root of 827875 is about 909.8763652277. The cubic root of 827875 is about 93.8976931290.

The spelling of 827875 in words is "eight hundred twenty-seven thousand, eight hundred seventy-five".