87111 has 6 divisors (see below), whose sum is σ = 125840. Its totient is φ = 58068.

The previous prime is 87107. The next prime is 87119. The reversal of 87111 is 11178.

It is not a de Polignac number, because 87111 - 2² = 87107 is a prime.

It is a Duffinian number.

87111 is a modest number, since divided by 111 gives 87 as remainder.

87111 is a lucky number.

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 (87119) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4831 + ... + 4848.

2⁸⁷¹¹¹ is an apocalyptic number.

87111 is a deficient number, since it is larger than the sum of its proper divisors (38729).

87111 is a wasteful number, since it uses less digits than its factorization.

87111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9685 (or 9682 counting only the distinct ones).

The product of its digits is 56, while the sum is 18.

The square root of 87111 is about 295.1457267182. The cubic root of 87111 is about 44.3293128935.

Adding to 87111 its reverse (11178), we get a palindrome (98289).

The spelling of 87111 in words is "eighty-seven thousand, one hundred eleven".