82587 has 4 divisors (see below), whose sum is σ = 110120. Its totient is φ = 55056.

The previous prime is 82571. The next prime is 82591. The reversal of 82587 is 78528.

It is a semiprime because it is the product of two primes.

It is not a de Polignac number, because 82587 - 2⁴ = 82571 is a prime.

It is a super-2 number, since 2×82587² = 13641225138, which contains 22 as substring.

It is a D-number.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 82587.

It is not an unprimeable number, because it can be changed into a prime (82507) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13762 + ... + 13767.

It is an arithmetic number, because the mean of its divisors is an integer number (27530).

2⁸²⁵⁸⁷ is an apocalyptic number.

82587 is a deficient number, since it is larger than the sum of its proper divisors (27533).

82587 is a wasteful number, since it uses less digits than its factorization.

82587 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27532.

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

The square root of 82587 is about 287.3795399815. The cubic root of 82587 is about 43.5482355674.

The spelling of 82587 in words is "eighty-two thousand, five hundred eighty-seven".