3187 has 2 divisors, whose sum is σ = 3188. Its totient is φ = 3186.

The previous prime is 3181. The next prime is 3191. The reversal of 3187 is 7813.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-3187 is a prime.

It is a Chen prime.

3187 is a lucky number.

It is a plaindrome in base 14.

It is a nialpdrome in base 9 and base 16.

It is a zygodrome in base 2.

It is not a weakly prime, because it can be changed into another prime (3181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1593 + 1594.

It is an arithmetic number, because the mean of its divisors is an integer number (1594).

2³¹⁸⁷ is an apocalyptic number.

3187 is a deficient number, since it is larger than the sum of its proper divisors (1).

3187 is an equidigital number, since it uses as much as digits as its factorization.

3187 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 168, while the sum is 19.

The square root of 3187 is about 56.4535207051. The cubic root of 3187 is about 14.7161437402.

It can be divided in two parts, 318 and 7, that added together give a triangular number (325 = T₂₅).

The spelling of 3187 in words is "three thousand, one hundred eighty-seven".