163188 has 24 divisors (see below), whose sum is σ = 423360. Its totient is φ = 54360.

The previous prime is 163181. The next prime is 163193. The reversal of 163188 is 881361.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (163181) by changing a digit.

163188 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 648 + ... + 863.

It is an arithmetic number, because the mean of its divisors is an integer number (17640).

2¹⁶³¹⁸⁸ is an apocalyptic number.

163188 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

163188 is an abundant number, since it is smaller than the sum of its proper divisors (260172).

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

163188 is a wasteful number, since it uses less digits than its factorization.

163188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1524 (or 1516 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 163188 is about 403.9653450483. The cubic root of 163188 is about 54.6465488800.

It can be divided in two parts, 163 and 188, that added together give a triangular number (351 = T₂₆).

The spelling of 163188 in words is "one hundred sixty-three thousand, one hundred eighty-eight".