83388 has 12 divisors (see below), whose sum is σ = 194600. Its totient is φ = 27792.

The previous prime is 83383. The next prime is 83389. The reversal of 83388 is 88338.

It is a tau number, because it is divible by the number of its divisors (12).

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83383) by changing a digit.

83388 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 3 ways as a sum of consecutive naturals, for example, 3463 + ... + 3486.

2⁸³³⁸⁸ is an apocalyptic number.

It is an amenable number.

83388 is an abundant number, since it is smaller than the sum of its proper divisors (111212).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97300).

83388 is a wasteful number, since it uses less digits than its factorization.

83388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6956 (or 6954 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 83388 is about 288.7698045156. The cubic root of 83388 is about 43.6885722955.

Subtracting 83388 from its reverse (88338), we obtain a triangular number (4950 = T₉₉).

The spelling of 83388 in words is "eighty-three thousand, three hundred eighty-eight".