4871 has 2 divisors, whose sum is σ = 4872. Its totient is φ = 4870.

The previous prime is 4861. The next prime is 4877. The reversal of 4871 is 1784.

It is a happy number.

It is a strong prime.

Together with 83 it forms a Wieferich pair.

It is a cyclic number.

It is not a de Polignac number, because 4871 - 2¹⁰ = 3847 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a plaindrome in base 12, base 14 and base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 4871.

It is not a weakly prime, because it can be changed into another prime (4877) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2435 + 2436.

It is an arithmetic number, because the mean of its divisors is an integer number (2436).

2⁴⁸⁷¹ is an apocalyptic number.

4871 is a deficient number, since it is larger than the sum of its proper divisors (1).

4871 is an equidigital number, since it uses as much as digits as its factorization.

4871 is an evil number, because the sum of its binary digits is even.

The product of its digits is 224, while the sum is 20.

The square root of 4871 is about 69.7925497457. The cubic root of 4871 is about 16.9514183920.

Subtracting from 4871 its sum of digits (20), we obtain a triangular number (4851 = T₉₈).

The spelling of 4871 in words is "four thousand, eight hundred seventy-one".