3847 has 2 divisors, whose sum is σ = 3848. Its totient is φ = 3846.

The previous prime is 3833. The next prime is 3851. The reversal of 3847 is 7483.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 3847 - 2⁷ = 3719 is a prime.

It is a Chen prime.

3847 is a lucky number.

It is a plaindrome in base 13 and base 14.

It is a zygodrome in base 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3877) by changing a digit.

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

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1923 + 1924.

It is an arithmetic number, because the mean of its divisors is an integer number (1924).

2³⁸⁴⁷ is an apocalyptic number.

3847 is a deficient number, since it is larger than the sum of its proper divisors (1).

3847 is an equidigital number, since it uses as much as digits as its factorization.

3847 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 672, while the sum is 22.

The square root of 3847 is about 62.0241888298. The cubic root of 3847 is about 15.6689800920.

The spelling of 3847 in words is "three thousand, eight hundred forty-seven".