83587 has 4 divisors (see below), whose sum is σ = 95536. Its totient is φ = 71640.

The previous prime is 83579. The next prime is 83591. The reversal of 83587 is 78538.

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

It is a cyclic number.

It is not a de Polignac number, because 83587 - 2³ = 83579 is a prime.

It is a plaindrome in base 11 and base 14.

It is not an unprimeable number, because it can be changed into a prime (83537) 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 3 ways as a sum of consecutive naturals, for example, 5964 + ... + 5977.

It is an arithmetic number, because the mean of its divisors is an integer number (23884).

2⁸³⁵⁸⁷ is an apocalyptic number.

83587 is a deficient number, since it is larger than the sum of its proper divisors (11949).

83587 is a wasteful number, since it uses less digits than its factorization.

83587 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11948.

The product of its digits is 6720, while the sum is 31.

The square root of 83587 is about 289.1141643019. The cubic root of 83587 is about 43.7232979920.

Subtracting from 83587 its product of digits (6720), we obtain a palindrome (76867).

The spelling of 83587 in words is "eighty-three thousand, five hundred eighty-seven".