87582 has 16 divisors (see below), whose sum is σ = 191232. Its totient is φ = 26520.

The previous prime is 87559. The next prime is 87583. The reversal of 87582 is 28578.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87583) 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, 598 + ... + 729.

It is an arithmetic number, because the mean of its divisors is an integer number (11952).

2⁸⁷⁵⁸² is an apocalyptic number.

87582 is an abundant number, since it is smaller than the sum of its proper divisors (103650).

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 (95616).

87582 is a wasteful number, since it uses less digits than its factorization.

87582 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1343.

The product of its digits is 4480, while the sum is 30.

The square root of 87582 is about 295.9425619947. The cubic root of 87582 is about 44.4090639721.

The spelling of 87582 in words is "eighty-seven thousand, five hundred eighty-two".