87312 has 40 divisors (see below), whose sum is σ = 241056. Its totient is φ = 27136.

The previous prime is 87299. The next prime is 87313. The reversal of 87312 is 21378.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (87313) by changing a digit.

87312 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 in 7 ways as a sum of consecutive naturals, for example, 763 + ... + 869.

2⁸⁷³¹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120528).

87312 is an abundant number, since it is smaller than the sum of its proper divisors (153744).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

87312 is a wasteful number, since it uses less digits than its factorization.

87312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 129 counting only the distinct ones).

The product of its digits is 336, while the sum is 21.

The square root of 87312 is about 295.4860402794. The cubic root of 87312 is about 44.3633818688.

The spelling of 87312 in words is "eighty-seven thousand, three hundred twelve".