68813 has 2 divisors, whose sum is σ = 68814. Its totient is φ = 68812.

The previous prime is 68791. The next prime is 68819. The reversal of 68813 is 31886.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68644 + 169 = 262^2 + 13^2 .

It is a cyclic number.

It is not a de Polignac number, because 68813 - 2⁶ = 68749 is a prime.

It is a Chen prime.

It is equal to p₆₈₃₉ and since 68813 and 6839 have the same sum of digits, it is a Honaker prime.

It is a plaindrome in base 11.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (68819) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 34406 + 34407.

It is an arithmetic number, because the mean of its divisors is an integer number (34407).

2⁶⁸⁸¹³ is an apocalyptic number.

It is an amenable number.

68813 is a deficient number, since it is larger than the sum of its proper divisors (1).

68813 is an equidigital number, since it uses as much as digits as its factorization.

68813 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1152, while the sum is 26.

The square root of 68813 is about 262.3223208193. The cubic root of 68813 is about 40.9785729801.

The spelling of 68813 in words is "sixty-eight thousand, eight hundred thirteen".