71585 has 8 divisors (see below), whose sum is σ = 87360. Its totient is φ = 56304.

The previous prime is 71569. The next prime is 71593. The reversal of 71585 is 58517.

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 71585 - 2⁴ = 71569 is a prime.

It is a plaindrome in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 71585.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 446 + ... + 584.

It is an arithmetic number, because the mean of its divisors is an integer number (10920).

2⁷¹⁵⁸⁵ is an apocalyptic number.

It is an amenable number.

71585 is a deficient number, since it is larger than the sum of its proper divisors (15775).

71585 is a wasteful number, since it uses less digits than its factorization.

71585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247.

The product of its digits is 1400, while the sum is 26.

The square root of 71585 is about 267.5537329211. The cubic root of 71585 is about 41.5215932529.

It can be divided in two parts, 71 and 585, that added together give a palindrome (656).

The spelling of 71585 in words is "seventy-one thousand, five hundred eighty-five".