67980013 has 2 divisors, whose sum is σ = 67980014. Its totient is φ = 67980012.

The previous prime is 67979999. The next prime is 67980037. The reversal of 67980013 is 31008976.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 63968004 + 4012009 = 7998^2 + 2003^2 .

It is a cyclic number.

It is not a de Polignac number, because 67980013 - 2¹⁷ = 67848941 is a prime.

It is a plaindrome in base 13.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (67980713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33990006 + 33990007.

It is an arithmetic number, because the mean of its divisors is an integer number (33990007).

Almost surely, 2^67980013 is an apocalyptic number.

It is an amenable number.

67980013 is a deficient number, since it is larger than the sum of its proper divisors (1).

67980013 is an equidigital number, since it uses as much as digits as its factorization.

67980013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 67980013 is about 8244.9992722862. Note that the first 3 decimals coincide. The cubic root of 67980013 is about 408.1255160571.

Adding to 67980013 its reverse (31008976), we get a palindrome (98988989).

The spelling of 67980013 in words is "sixty-seven million, nine hundred eighty thousand, thirteen".