67981313 has 2 divisors, whose sum is σ = 67981314. Its totient is φ = 67981312.

The previous prime is 67981253. The next prime is 67981337. The reversal of 67981313 is 31318976.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 66699889 + 1281424 = 8167^2 + 1132^2 .

It is a cyclic number.

It is not a de Polignac number, because 67981313 - 2¹⁶ = 67915777 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (67981343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33990656 + 33990657.

It is an arithmetic number, because the mean of its divisors is an integer number (33990657).

Almost surely, 2^67981313 is an apocalyptic number.

It is an amenable number.

67981313 is a deficient number, since it is larger than the sum of its proper divisors (1).

67981313 is an equidigital number, since it uses as much as digits as its factorization.

67981313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 27216, while the sum is 38.

The square root of 67981313 is about 8245.0781075742. The cubic root of 67981313 is about 408.1281176050.

The spelling of 67981313 in words is "sixty-seven million, nine hundred eighty-one thousand, three hundred thirteen".