79585 has 8 divisors (see below), whose sum is σ = 104256. Its totient is φ = 57840.

The previous prime is 79579. The next prime is 79589. The reversal of 79585 is 58597.

79585 = 80² + 81² + ... + 90².

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

It is not a de Polignac number, because 79585 - 2¹⁵ = 46817 is a prime.

It is a Duffinian number.

It is a plaindrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 79585.

It is not an unprimeable number, because it can be changed into a prime (79589) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 669 + ... + 778.

It is an arithmetic number, because the mean of its divisors is an integer number (13032).

2⁷⁹⁵⁸⁵ is an apocalyptic number.

It is an amenable number.

79585 is a deficient number, since it is larger than the sum of its proper divisors (24671).

79585 is a wasteful number, since it uses less digits than its factorization.

79585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1463.

The product of its digits is 12600, while the sum is 34.

The square root of 79585 is about 282.1081352957. The cubic root of 79585 is about 43.0140570591.

The spelling of 79585 in words is "seventy-nine thousand, five hundred eighty-five".