71587 has 4 divisors (see below), whose sum is σ = 75816. Its totient is φ = 67360.

The previous prime is 71569. The next prime is 71593. The reversal of 71587 is 78517.

It is a happy number.

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 71587 - 2¹¹ = 69539 is a prime.

It is a Duffinian number.

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (71527) 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, 2089 + ... + 2122.

It is an arithmetic number, because the mean of its divisors is an integer number (18954).

2⁷¹⁵⁸⁷ is an apocalyptic number.

71587 is a deficient number, since it is larger than the sum of its proper divisors (4229).

71587 is a wasteful number, since it uses less digits than its factorization.

71587 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4228.

The product of its digits is 1960, while the sum is 28.

The square root of 71587 is about 267.5574704620. The cubic root of 71587 is about 41.5219799373.

The spelling of 71587 in words is "seventy-one thousand, five hundred eighty-seven".