16771 has 4 divisors (see below), whose sum is σ = 17344. Its totient is φ = 16200.

The previous prime is 16763. The next prime is 16787. The reversal of 16771 is 17761.

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

It is a 4-Lehmer number, since φ(16771) divides (16771-1)⁴.

It is a cyclic number.

It is not a de Polignac number, because 16771 - 2³ = 16763 is a prime.

It is the 130-th Hogben number.

It is a Duffinian number.

16771 is a lucky number.

It is a plaindrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16741) by changing a digit.

It is a nontrivial repunit in base 129.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 240 + ... + 301.

It is an arithmetic number, because the mean of its divisors is an integer number (4336).

2¹⁶⁷⁷¹ is an apocalyptic number.

16771 is a deficient number, since it is larger than the sum of its proper divisors (573).

16771 is an equidigital number, since it uses as much as digits as its factorization.

16771 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572.

The product of its digits is 294, while the sum is 22.

The square root of 16771 is about 129.5028957205. The cubic root of 16771 is about 25.5968379884.

Subtracting 16771 from its reverse (17761), we obtain a triangular number (990 = T₄₄).

It can be divided in two parts, 16 and 771, that added together give a palindrome (787).

The spelling of 16771 in words is "sixteen thousand, seven hundred seventy-one".