65871 has 12 divisors (see below), whose sum is σ = 102648. Its totient is φ = 40464.

The previous prime is 65867. The next prime is 65881. The reversal of 65871 is 17856.

65871 is a `hidden beast` number, since 658 + 7 + 1 = 666.

It is not a de Polignac number, because 65871 - 2² = 65867 is a prime.

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 65871.

It is not an unprimeable number, because it can be changed into a prime (65831) 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 in 11 ways as a sum of consecutive naturals, for example, 165 + ... + 398.

It is an arithmetic number, because the mean of its divisors is an integer number (8554).

2⁶⁵⁸⁷¹ is an apocalyptic number.

65871 is a deficient number, since it is larger than the sum of its proper divisors (36777).

65871 is a wasteful number, since it uses less digits than its factorization.

65871 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 579 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The square root of 65871 is about 256.6534628638. The cubic root of 65871 is about 40.3860537426.

It can be divided in two parts, 658 and 71, that added together give a 6-th power (729 = 3⁶).

The spelling of 65871 in words is "sixty-five thousand, eight hundred seventy-one".