8388 has 18 divisors (see below), whose sum is σ = 21294. Its totient is φ = 2784.

The previous prime is 8387. The next prime is 8389. The reversal of 8388 is 8838.

8388 is nontrivially palindromic in base 11.

It is an interprime number because it is at equal distance from previous prime (8387) and next prime (8389).

It can be written as a sum of positive squares in only one way, i.e., 6084 + 2304 = 78^2 + 48^2 .

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

It is not an unprimeable number, because it can be changed into a prime (8387) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 81 + ... + 152.

It is an arithmetic number, because the mean of its divisors is an integer number (1183).

It is an amenable number.

8388 is an abundant number, since it is smaller than the sum of its proper divisors (12906).

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

8388 is a wasteful number, since it uses less digits than its factorization.

8388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 238 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 8388 is about 91.5860251348. The cubic root of 8388 is about 20.3182425578.

It can be divided in two parts, 83 and 88, that added together give a palindrome (171).

The spelling of 8388 in words is "eight thousand, three hundred eighty-eight".