68993 has 2 divisors, whose sum is σ = 68994. Its totient is φ = 68992.

The previous prime is 68963. The next prime is 69001. The reversal of 68993 is 39986.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 47089 + 21904 = 217^2 + 148^2 .

It is a cyclic number.

It is not a de Polignac number, because 68993 - 2⁸ = 68737 is a prime.

It is a Chen prime.

It is a plaindrome in base 9.

It is not a weakly prime, because it can be changed into another prime (68903) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 34496 + 34497.

It is an arithmetic number, because the mean of its divisors is an integer number (34497).

2⁶⁸⁹⁹³ is an apocalyptic number.

It is an amenable number.

68993 is a deficient number, since it is larger than the sum of its proper divisors (1).

68993 is an equidigital number, since it uses as much as digits as its factorization.

68993 is an evil number, because the sum of its binary digits is even.

The product of its digits is 11664, while the sum is 35.

The square root of 68993 is about 262.6651861210. The cubic root of 68993 is about 41.0142722471.

The spelling of 68993 in words is "sixty-eight thousand, nine hundred ninety-three".