87711 has 12 divisors (see below), whose sum is σ = 127368. Its totient is φ = 53664.

The previous prime is 87701. The next prime is 87719. The reversal of 87711 is 11778.

It is not a de Polignac number, because 87711 - 2⁵ = 87679 is a prime.

It is a plaindrome in base 16.

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87719) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 421 + ... + 593.

It is an arithmetic number, because the mean of its divisors is an integer number (10614).

2⁸⁷⁷¹¹ is an apocalyptic number.

87711 is a deficient number, since it is larger than the sum of its proper divisors (39657).

87711 is a wasteful number, since it uses less digits than its factorization.

87711 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 189 counting only the distinct ones).

The product of its digits is 392, while the sum is 24.

The square root of 87711 is about 296.1604294973. The cubic root of 87711 is about 44.4308567260.

It can be divided in two parts, 877 and 11, that added together give a palindrome (888).

The spelling of 87711 in words is "eighty-seven thousand, seven hundred eleven".