3787 has 4 divisors (see below), whose sum is σ = 4336. Its totient is φ = 3240.

The previous prime is 3779. The next prime is 3793. The reversal of 3787 is 7873.

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 3787 - 2³ = 3779 is a prime.

It is a Duffinian 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 3787.

It is not an unprimeable number, because it can be changed into a prime (3727) 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, 264 + ... + 277.

It is an arithmetic number, because the mean of its divisors is an integer number (1084).

2³⁷⁸⁷ is an apocalyptic number.

3787 is a deficient number, since it is larger than the sum of its proper divisors (549).

3787 is an equidigital number, since it uses as much as digits as its factorization.

3787 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548.

The product of its digits is 1176, while the sum is 25.

The square root of 3787 is about 61.5386057691. The cubic root of 3787 is about 15.5870921058.

The spelling of 3787 in words is "three thousand, seven hundred eighty-seven".