68193 has 6 divisors (see below), whose sum is σ = 98514. Its totient is φ = 45456.

The previous prime is 68171. The next prime is 68207. The reversal of 68193 is 39186.

It can be written as a sum of positive squares in only one way, i.e., 36864 + 31329 = 192^2 + 177^2 .

It is not a de Polignac number, because 68193 - 2⁵ = 68161 is a prime.

It is a plaindrome in base 12 and base 14.

It is not an unprimeable number, because it can be changed into a prime (68113) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3780 + ... + 3797.

It is an arithmetic number, because the mean of its divisors is an integer number (16419).

2⁶⁸¹⁹³ is an apocalyptic number.

It is an amenable number.

68193 is a deficient number, since it is larger than the sum of its proper divisors (30321).

68193 is a wasteful number, since it uses less digits than its factorization.

68193 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7583 (or 7580 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 68193 is about 261.1378946074. The cubic root of 68193 is about 40.8551302018.

The spelling of 68193 in words is "sixty-eight thousand, one hundred ninety-three".