68013 has 16 divisors (see below), whose sum is σ = 110400. Its totient is φ = 41040.

The previous prime is 67993. The next prime is 68023. The reversal of 68013 is 31086.

It is not a de Polignac number, because 68013 - 2⁸ = 67757 is a prime.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 183 + ... + 411.

It is an arithmetic number, because the mean of its divisors is an integer number (6900).

2⁶⁸⁰¹³ is an apocalyptic number.

It is an amenable number.

68013 is a deficient number, since it is larger than the sum of its proper divisors (42387).

68013 is a wasteful number, since it uses less digits than its factorization.

68013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 68013 is about 260.7930213790. The cubic root of 68013 is about 40.8191519082.

Adding to 68013 its reverse (31086), we get a palindrome (99099).

The spelling of 68013 in words is "sixty-eight thousand, thirteen".