68581 has 2 divisors, whose sum is σ = 68582. Its totient is φ = 68580.

The previous prime is 68567. The next prime is 68597. The reversal of 68581 is 18586.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 50625 + 17956 = 225^2 + 134^2 .

It is a cyclic number.

It is not a de Polignac number, because 68581 - 2¹¹ = 66533 is a prime.

It is a super-2 number, since 2×68581² = 9406707122, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (68501) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 34290 + 34291.

It is an arithmetic number, because the mean of its divisors is an integer number (34291).

2⁶⁸⁵⁸¹ is an apocalyptic number.

It is an amenable number.

68581 is a deficient number, since it is larger than the sum of its proper divisors (1).

68581 is an equidigital number, since it uses as much as digits as its factorization.

68581 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1920, while the sum is 28.

The square root of 68581 is about 261.8797433938. The cubic root of 68581 is about 40.9324686434.

It can be divided in two parts, 6858 and 1, that added together give a cube (6859 = 19³).

The spelling of 68581 in words is "sixty-eight thousand, five hundred eighty-one".