87112 has 8 divisors (see below), whose sum is σ = 163350. Its totient is φ = 43552.

The previous prime is 87107. The next prime is 87119. The reversal of 87112 is 21178.

It can be written as a sum of positive squares in only one way, i.e., 86436 + 676 = 294^2 + 26^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a self number, because there is not a number n which added to its sum of digits gives 87112.

It is not an unprimeable number, because it can be changed into a prime (87119) by changing a digit.

87112 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5437 + ... + 5452.

2⁸⁷¹¹² is an apocalyptic number.

It is an amenable number.

87112 is a deficient number, since it is larger than the sum of its proper divisors (76238).

87112 is a wasteful number, since it uses less digits than its factorization.

87112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10895 (or 10891 counting only the distinct ones).

The product of its digits is 112, while the sum is 19.

The square root of 87112 is about 295.1474207917. The cubic root of 87112 is about 44.3294825205.

The spelling of 87112 in words is "eighty-seven thousand, one hundred twelve".