13766 has 4 divisors (see below), whose sum is σ = 20652. Its totient is φ = 6882.

The previous prime is 13763. The next prime is 13781. The reversal of 13766 is 66731.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 66731 = 7 ⋅9533.

It is a congruent number.

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

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3440 + ... + 3443.

It is an arithmetic number, because the mean of its divisors is an integer number (5163).

2¹³⁷⁶⁶ is an apocalyptic number.

13766 is a deficient number, since it is larger than the sum of its proper divisors (6886).

13766 is an equidigital number, since it uses as much as digits as its factorization.

13766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6885.

The product of its digits is 756, while the sum is 23.

The square root of 13766 is about 117.3285983893. The cubic root of 13766 is about 23.9663881339.

It can be divided in two parts, 1376 and 6, that multiplied together give a triangular number (8256 = T₁₂₈).

The spelling of 13766 in words is "thirteen thousand, seven hundred sixty-six".