13788 has 18 divisors (see below), whose sum is σ = 34944. Its totient is φ = 4584.

The previous prime is 13781. The next prime is 13789. The reversal of 13788 is 88731.

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

It is a plaindrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13781) by changing a digit.

13788 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, 156 + ... + 227.

2¹³⁷⁸⁸ is an apocalyptic number.

13788 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13788 is an abundant number, since it is smaller than the sum of its proper divisors (21156).

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

13788 is a wasteful number, since it uses less digits than its factorization.

13788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 388 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 13788 is about 117.4223147447. The cubic root of 13788 is about 23.9791485560.

It can be divided in two parts, 137 and 88, that added together give a square (225 = 15²).

The spelling of 13788 in words is "thirteen thousand, seven hundred eighty-eight".