87882 has 16 divisors (see below), whose sum is σ = 178752. Its totient is φ = 28800.

The previous prime is 87881. The next prime is 87887. The reversal of 87882 is 28878.

It is not an unprimeable number, because it can be changed into a prime (87881) 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, 507 + ... + 657.

It is an arithmetic number, because the mean of its divisors is an integer number (11172).

2⁸⁷⁸⁸² is an apocalyptic number.

87882 is an abundant number, since it is smaller than the sum of its proper divisors (90870).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89376).

87882 is a wasteful number, since it uses less digits than its factorization.

87882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253.

The product of its digits is 7168, while the sum is 33.

The square root of 87882 is about 296.4489838067. The cubic root of 87882 is about 44.4597118844.

It can be divided in two parts, 8788 and 2, that multiplied together give a cube (17576 = 26³).

The spelling of 87882 in words is "eighty-seven thousand, eight hundred eighty-two".