13768 has 8 divisors (see below), whose sum is σ = 25830. Its totient is φ = 6880.

The previous prime is 13763. The next prime is 13781. The reversal of 13768 is 86731.

13768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 10404 + 3364 = 102^2 + 58^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is not an unprimeable number, because it can be changed into a prime (13763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 853 + ... + 868.

2¹³⁷⁶⁸ is an apocalyptic number.

It is an amenable number.

13768 is a deficient number, since it is larger than the sum of its proper divisors (12062).

13768 is a wasteful number, since it uses less digits than its factorization.

13768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1727 (or 1723 counting only the distinct ones).

The product of its digits is 1008, while the sum is 25.

The square root of 13768 is about 117.3371211510. The cubic root of 13768 is about 23.9675487338.

It can be divided in two parts, 137 and 68, that multiplied together give a triangular number (9316 = T₁₃₆).

The spelling of 13768 in words is "thirteen thousand, seven hundred sixty-eight".