188082 has 32 divisors (see below), whose sum is σ = 432960. Its totient is φ = 61236.

The previous prime is 188029. The next prime is 188107. The reversal of 188082 is 280881.

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

It is a plaindrome in base 13.

It is an unprimeable number.

188082 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 15 ways as a sum of consecutive naturals, for example, 4353 + ... + 4395.

It is an arithmetic number, because the mean of its divisors is an integer number (13530).

2¹⁸⁸⁰⁸² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 188082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216480).

188082 is an abundant number, since it is smaller than the sum of its proper divisors (244878).

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

188082 is an frugal number, since it uses more digits than its factorization.

188082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 188082 is about 433.6842169136. The cubic root of 188082 is about 57.2948708438.

It can be divided in two parts, 18 and 8082, that added together give a square (8100 = 90²).

The spelling of 188082 in words is "one hundred eighty-eight thousand, eighty-two".