163820 has 12 divisors (see below), whose sum is σ = 344064. Its totient is φ = 65520.

The previous prime is 163819. The next prime is 163841. The reversal of 163820 is 28361.

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 8191 = 163820 / (1 + 6 + 3 + 8 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 163792 and 163801.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4076 + ... + 4115.

It is an arithmetic number, because the mean of its divisors is an integer number (28672).

2¹⁶³⁸²⁰ is an apocalyptic number.

163820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

163820 is an abundant number, since it is smaller than the sum of its proper divisors (180244).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

163820 is a wasteful number, since it uses less digits than its factorization.

163820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8200 (or 8198 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 163820 is about 404.7468344533. The cubic root of 163820 is about 54.7170036719.

The spelling of 163820 in words is "one hundred sixty-three thousand, eight hundred twenty".