• Deleting all the even digits from 2⁶¹⁷¹ we obtain a prime of 935 digits.

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6171 has 12 divisors (see below), whose sum is σ = 9576. Its totient is φ = 3520.

The previous prime is 6163. The next prime is 6173. The reversal of 6171 is 1716.

6171 = T₁₈ + T₁₉ + ... + T₃₄.

6171 = 5² + 6² + ... + 26².

It is not a de Polignac number, because 6171 - 2³ = 6163 is a prime.

It is a Smith number, since the sum of its digits (15) coincides with the sum of the digits of its prime factors.

Its product of digits (42) is a multiple of the sum of its prime factors (42).

It is a plaindrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 6171.

It is not an unprimeable number, because it can be changed into a prime (6173) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 355 + ... + 371.

It is an arithmetic number, because the mean of its divisors is an integer number (798).

2⁶¹⁷¹ is an apocalyptic number.

6171 is a deficient number, since it is larger than the sum of its proper divisors (3405).

6171 is a wasteful number, since it uses less digits than its factorization.

6171 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42 (or 31 counting only the distinct ones).

The product of its digits is 42, while the sum is 15.

The square root of 6171 is about 78.5557127140. Note that the first 3 decimals coincide. The cubic root of 6171 is about 18.3422179159.

Adding to 6171 its reverse (1716), we get a palindrome (7887).

The spelling of 6171 in words is "six thousand, one hundred seventy-one".