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16871 is a prime number
BaseRepresentation
bin100000111100111
3212010212
410013213
51014441
6210035
7100121
oct40747
925125
1016871
1111748
12991b
1378aa
146211
154eeb
hex41e7

16871 has 2 divisors, whose sum is σ = 16872. Its totient is φ = 16870.

The previous prime is 16843. The next prime is 16879. The reversal of 16871 is 17861.

16871 is nontrivially palindromic in base 3.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 16871 - 214 = 487 is a prime.

It is a Chen prime.

It is a plaindrome in base 13.

It is a nialpdrome in base 14.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (16879) 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, 8435 + 8436.

It is an arithmetic number, because the mean of its divisors is an integer number (8436).

216871 is an apocalyptic number.

16871 is a deficient number, since it is larger than the sum of its proper divisors (1).

16871 is an equidigital number, since it uses as much as digits as its factorization.

16871 is an evil number, because the sum of its binary digits is even.

The product of its digits is 336, while the sum is 23.

The square root of 16871 is about 129.8884136480. Note that the first 3 decimals coincide. The cubic root of 16871 is about 25.6476124018.

Subtracting 16871 from its reverse (17861), we obtain a triangular number (990 = T44).

The spelling of 16871 in words is "sixteen thousand, eight hundred seventy-one".