188385 has 16 divisors (see below), whose sum is σ = 317760. Its totient is φ = 95040.

The previous prime is 188369. The next prime is 188389. The reversal of 188385 is 583881.

188385 is nontrivially palindromic in base 7.

It is not a de Polignac number, because 188385 - 2⁴ = 188369 is a prime.

188385 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (188389) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46 + ... + 615.

It is an arithmetic number, because the mean of its divisors is an integer number (19860).

2¹⁸⁸³⁸⁵ is an apocalyptic number.

188385 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

188385 is a deficient number, since it is larger than the sum of its proper divisors (129375).

188385 is a wasteful number, since it uses less digits than its factorization.

188385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688.

The product of its digits is 7680, while the sum is 33.

The square root of 188385 is about 434.0334088524. The cubic root of 188385 is about 57.3256216718.

The spelling of 188385 in words is "one hundred eighty-eight thousand, three hundred eighty-five".