3771 has 6 divisors (see below), whose sum is σ = 5460. Its totient is φ = 2508.

The previous prime is 3769. The next prime is 3779. The reversal of 3771 is 1773.

It is not a de Polignac number, because 3771 - 2¹ = 3769 is a prime.

3771 is a lucky number.

It is a plaindrome in base 12.

It is a nialpdrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 3771.

It is not an unprimeable number, because it can be changed into a prime (3779) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 201 + ... + 218.

It is an arithmetic number, because the mean of its divisors is an integer number (910).

2³⁷⁷¹ is an apocalyptic number.

3771 is a deficient number, since it is larger than the sum of its proper divisors (1689).

3771 is a wasteful number, since it uses less digits than its factorization.

3771 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 422 counting only the distinct ones).

The product of its digits is 147, while the sum is 18.

The square root of 3771 is about 61.4084684714. The cubic root of 3771 is about 15.5651093994.

It can be divided in two parts, 377 and 1, that added together give a triangular number (378 = T₂₇).

The spelling of 3771 in words is "three thousand, seven hundred seventy-one", and thus it is an iban number.