188085 has 8 divisors (see below), whose sum is σ = 300960. Its totient is φ = 100304.

The previous prime is 188029. The next prime is 188107. The reversal of 188085 is 580881.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 188085 - 2⁶ = 188021 is a prime.

It is a Curzon number.

188085 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 188085.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6255 + ... + 6284.

It is an arithmetic number, because the mean of its divisors is an integer number (37620).

2¹⁸⁸⁰⁸⁵ is an apocalyptic number.

188085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

188085 is a deficient number, since it is larger than the sum of its proper divisors (112875).

188085 is a wasteful number, since it uses less digits than its factorization.

188085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12547.

The product of its (nonzero) digits is 2560, while the sum is 30.

The square root of 188085 is about 433.6876756377. The cubic root of 188085 is about 57.2951754692.

It can be divided in two parts, 18 and 8085, that multiplied together give a triangular number (145530 = T₅₃₉).

The spelling of 188085 in words is "one hundred eighty-eight thousand, eighty-five".