3851 has 2 divisors, whose sum is σ = 3852. Its totient is φ = 3850.

The previous prime is 3847. The next prime is 3853. The reversal of 3851 is 1583.

3851 is nontrivially palindromic in base 7.

It is a strong prime.

It is an emirp because it is prime and its reverse (1583) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3851 - 2² = 3847 is a prime.

It is a super-3 number, since 3×3851³ = 171333312153, which contains 333 as substring.

It is a Sophie Germain prime.

Together with 3853, it forms a pair of twin primes.

It is a Chen prime.

3851 is an undulating number in base 7.

It is a plaindrome in base 12.

It is not a weakly prime, because it can be changed into another prime (3853) 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, 1925 + 1926.

It is an arithmetic number, because the mean of its divisors is an integer number (1926).

2³⁸⁵¹ is an apocalyptic number.

3851 is a deficient number, since it is larger than the sum of its proper divisors (1).

3851 is an equidigital number, since it uses as much as digits as its factorization.

3851 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 120, while the sum is 17.

The square root of 3851 is about 62.0564259364. The cubic root of 3851 is about 15.6744089291.

The spelling of 3851 in words is "three thousand, eight hundred fifty-one".