388116 has 18 divisors (see below), whose sum is σ = 981162. Its totient is φ = 129360.

The previous prime is 388111. The next prime is 388117. The reversal of 388116 is 611883.

It can be written as a sum of positive squares in only one way, i.e., 298116 + 90000 = 546^2 + 300^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 388116.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (388111) by changing a digit.

388116 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5355 + ... + 5426.

It is an arithmetic number, because the mean of its divisors is an integer number (54509).

2³⁸⁸¹¹⁶ is an apocalyptic number.

388116 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

388116 is an abundant number, since it is smaller than the sum of its proper divisors (593046).

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

388116 is a wasteful number, since it uses less digits than its factorization.

388116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10791 (or 10786 counting only the distinct ones).

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

The square root of 388116 is about 622.9895665258. The cubic root of 388116 is about 72.9435981424.

Adding to 388116 its reverse (611883), we get a palindrome (999999).

The spelling of 388116 in words is "three hundred eighty-eight thousand, one hundred sixteen".