71867 has 2 divisors, whose sum is σ = 71868. Its totient is φ = 71866.

The previous prime is 71861. The next prime is 71879. The reversal of 71867 is 76817.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 71867 - 2¹⁰ = 70843 is a prime.

It is a Chen prime.

It is a plaindrome in base 16.

It is not a weakly prime, because it can be changed into another prime (71861) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 35933 + 35934.

It is an arithmetic number, because the mean of its divisors is an integer number (35934).

2⁷¹⁸⁶⁷ is an apocalyptic number.

71867 is a deficient number, since it is larger than the sum of its proper divisors (1).

71867 is an equidigital number, since it uses as much as digits as its factorization.

71867 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2352, while the sum is 29.

The square root of 71867 is about 268.0802118770. The cubic root of 71867 is about 41.5760448250.

Subtracting 71867 from its reverse (76817), we obtain a triangular number (4950 = T₉₉).

The spelling of 71867 in words is "seventy-one thousand, eight hundred sixty-seven".