827163 has 12 divisors (see below), whose sum is σ = 1212120. Its totient is φ = 543456.

The previous prime is 827161. The next prime is 827213. The reversal of 827163 is 361728.

It is not a de Polignac number, because 827163 - 2¹ = 827161 is a prime.

It is a d-powerful number, because it can be written as 8 + 2⁷ + 1 + 7⁷ + 6⁴ + 3⁷ .

827163 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 827163.

It is not an unprimeable number, because it can be changed into a prime (827161) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28 + ... + 1286.

It is an arithmetic number, because the mean of its divisors is an integer number (101010).

2⁸²⁷¹⁶³ is an apocalyptic number.

827163 is a deficient number, since it is larger than the sum of its proper divisors (384957).

827163 is a wasteful number, since it uses less digits than its factorization.

827163 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1338 (or 1335 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 827163 is about 909.4850191180. The cubic root of 827163 is about 93.8707670300.

It can be divided in two parts, 827 and 163, that added together give a triangular number (990 = T₄₄).

The spelling of 827163 in words is "eight hundred twenty-seven thousand, one hundred sixty-three".