13771 has 4 divisors (see below), whose sum is σ = 14112. Its totient is φ = 13432.

The previous prime is 13763. The next prime is 13781. The reversal of 13771 is 17731.

It is a happy number.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 13771 - 2³ = 13763 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13711) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 100 + ... + 193.

It is an arithmetic number, because the mean of its divisors is an integer number (3528).

2¹³⁷⁷¹ is an apocalyptic number.

13771 is a deficient number, since it is larger than the sum of its proper divisors (341).

13771 is an equidigital number, since it uses as much as digits as its factorization.

13771 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340.

The product of its digits is 147, while the sum is 19.

The square root of 13771 is about 117.3499041329. The cubic root of 13771 is about 23.9692894230.

It can be divided in two parts, 1377 and 1, that added together give a triangular number (1378 = T₅₂).

The spelling of 13771 in words is "thirteen thousand, seven hundred seventy-one".