87282 has 24 divisors (see below), whose sum is σ = 204204. Its totient is φ = 26784.

The previous prime is 87281. The next prime is 87293. The reversal of 87282 is 28278.

It can be written as a sum of positive squares in 2 ways, for example, as 84681 + 2601 = 291^2 + 51^2 .

It is not an unprimeable number, because it can be changed into a prime (87281) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48 + ... + 420.

2⁸⁷²⁸² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102102).

87282 is an abundant number, since it is smaller than the sum of its proper divisors (116922).

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

87282 is a wasteful number, since it uses less digits than its factorization.

87282 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 391 counting only the distinct ones).

The product of its digits is 1792, while the sum is 27.

The square root of 87282 is about 295.4352720986. The cubic root of 87282 is about 44.3583002691.

The spelling of 87282 in words is "eighty-seven thousand, two hundred eighty-two".