82087 has 8 divisors (see below), whose sum is σ = 88704. Its totient is φ = 75768.

The previous prime is 82073. The next prime is 82129. The reversal of 82087 is 78028.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 82087 - 2¹¹ = 80039 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 948 + ... + 1030.

It is an arithmetic number, because the mean of its divisors is an integer number (11088).

2⁸²⁰⁸⁷ is an apocalyptic number.

82087 is a deficient number, since it is larger than the sum of its proper divisors (6617).

82087 is a wasteful number, since it uses less digits than its factorization.

82087 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149.

The product of its (nonzero) digits is 896, while the sum is 25.

The square root of 82087 is about 286.5082895834. The cubic root of 82087 is about 43.4601740567.

The spelling of 82087 in words is "eighty-two thousand, eighty-seven".