68081 has 4 divisors (see below), whose sum is σ = 73332. Its totient is φ = 62832.

The previous prime is 68071. The next prime is 68087. The reversal of 68081 is 18086.

68081 = 184² + 185².

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 18086 = 2 ⋅9043.

It can be written as a sum of positive squares in 2 ways, for example, as 34225 + 33856 = 185^2 + 184^2 .

It is a cyclic number.

It is not a de Polignac number, because 68081 - 2¹⁰ = 67057 is a prime.

It is a super-2 number, since 2×68081² = 9270045122, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a plaindrome in base 9.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 68081.

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 3 ways as a sum of consecutive naturals, for example, 2606 + ... + 2631.

It is an arithmetic number, because the mean of its divisors is an integer number (18333).

2⁶⁸⁰⁸¹ is an apocalyptic number.

68081 is the 185-th centered square number.

It is an amenable number.

68081 is a deficient number, since it is larger than the sum of its proper divisors (5251).

68081 is a wasteful number, since it uses less digits than its factorization.

68081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5250.

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 68081 is about 260.9233603953. The cubic root of 68081 is about 40.8327511602.

The spelling of 68081 in words is "sixty-eight thousand, eighty-one".