163827 has 12 divisors (see below), whose sum is σ = 240240. Its totient is φ = 107568.

The previous prime is 163819. The next prime is 163841. The reversal of 163827 is 728361.

163827 is a `hidden beast` number, since 1 + 638 + 27 = 666.

It is not a de Polignac number, because 163827 - 2³ = 163819 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 163827.

It is not an unprimeable number, because it can be changed into a prime (163847) 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, 898 + ... + 1064.

It is an arithmetic number, because the mean of its divisors is an integer number (20020).

2¹⁶³⁸²⁷ is an apocalyptic number.

163827 is a deficient number, since it is larger than the sum of its proper divisors (76413).

163827 is a wasteful number, since it uses less digits than its factorization.

163827 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 279 counting only the distinct ones).

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

The square root of 163827 is about 404.7554817418. The cubic root of 163827 is about 54.7177830101.

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

The spelling of 163827 in words is "one hundred sixty-three thousand, eight hundred twenty-seven".