1871 has 2 divisors, whose sum is σ = 1872. Its totient is φ = 1870.

The previous prime is 1867. The next prime is 1873. The reversal of 1871 is 1781.

1871 is nontrivially palindromic in base 14.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 1871 - 2² = 1867 is a prime.

Together with 1873, it forms a pair of twin primes.

It is a Chen prime.

1871 is an undulating number in base 14.

It is a plaindrome in base 6.

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 1871.

It is not a weakly prime, because it can be changed into another prime (1873) 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, 935 + 936.

It is an arithmetic number, because the mean of its divisors is an integer number (936).

2¹⁸⁷¹ is an apocalyptic number.

1871 is a deficient number, since it is larger than the sum of its proper divisors (1).

1871 is an equidigital number, since it uses as much as digits as its factorization.

1871 is an evil number, because the sum of its binary digits is even.

The product of its digits is 56, while the sum is 17.

The square root of 1871 is about 43.2550575078. The cubic root of 1871 is about 12.3222853747.

The spelling of 1871 in words is "one thousand, eight hundred seventy-one".