91871 has 8 divisors (see below), whose sum is σ = 102144. Its totient is φ = 82080.

The previous prime is 91867. The next prime is 91873. The reversal of 91871 is 17819.

91871 = T₄ + T₅ + ... + T₈₁.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 91871 - 2² = 91867 is a prime.

It is a Duffinian number.

It is a plaindrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 91871.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91873) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 386 + ... + 576.

It is an arithmetic number, because the mean of its divisors is an integer number (12768).

2⁹¹⁸⁷¹ is an apocalyptic number.

91871 is a deficient number, since it is larger than the sum of its proper divisors (10273).

91871 is a wasteful number, since it uses less digits than its factorization.

91871 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241.

The product of its digits is 504, while the sum is 26.

The square root of 91871 is about 303.1022929639. The cubic root of 91871 is about 45.1224647711.

It can be divided in two parts, 918 and 71, that added together give a palindrome (989).

The spelling of 91871 in words is "ninety-one thousand, eight hundred seventy-one".