68085 has 24 divisors (see below), whose sum is σ = 126360. Its totient is φ = 33792.

The previous prime is 68071. The next prime is 68087. The reversal of 68085 is 58086.

It can be written as a sum of positive squares in 4 ways, for example, as 6084 + 62001 = 78^2 + 249^2 .

It is not a de Polignac number, because 68085 - 2⁵ = 68053 is a prime.

It is an Ulam number.

68085 is a lucky number.

It is a plaindrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68087) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 721 + ... + 809.

It is an arithmetic number, because the mean of its divisors is an integer number (5265).

2⁶⁸⁰⁸⁵ is an apocalyptic number.

It is an amenable number.

68085 is a deficient number, since it is larger than the sum of its proper divisors (58275).

68085 is a wasteful number, since it uses less digits than its factorization.

68085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 68085 is about 260.9310253688. The cubic root of 68085 is about 40.8335508341.

Subtracting from 68085 its reverse (58086), we obtain a palindrome (9999).

The spelling of 68085 in words is "sixty-eight thousand, eighty-five".