68845 has 12 divisors (see below), whose sum is σ = 96444. Its totient is φ = 47040.

The previous prime is 68821. The next prime is 68863. The reversal of 68845 is 54886.

It can be written as a sum of positive squares in 2 ways, for example, as 35721 + 33124 = 189^2 + 182^2 .

It is not a de Polignac number, because 68845 - 2⁵ = 68813 is a prime.

It is a Duffinian number.

68845 is a lucky number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 105 + ... + 385.

It is an arithmetic number, because the mean of its divisors is an integer number (8037).

2⁶⁸⁸⁴⁵ is an apocalyptic number.

It is an amenable number.

68845 is a deficient number, since it is larger than the sum of its proper divisors (27599).

68845 is a wasteful number, since it uses less digits than its factorization.

68845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 293 counting only the distinct ones).

The product of its digits is 7680, while the sum is 31.

The square root of 68845 is about 262.3833073959. The cubic root of 68845 is about 40.9849240626.

It can be divided in two parts, 6884 and 5, that added together give a square (6889 = 83²).

The spelling of 68845 in words is "sixty-eight thousand, eight hundred forty-five".