67771001 has 2 divisors, whose sum is σ = 67771002. Its totient is φ = 67771000.

The previous prime is 67770971. The next prime is 67771003. The reversal of 67771001 is 10017776.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 57684025 + 10086976 = 7595^2 + 3176^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-67771001 is a prime.

Together with 67771003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (67771003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33885500 + 33885501.

It is an arithmetic number, because the mean of its divisors is an integer number (33885501).

Almost surely, 2^67771001 is an apocalyptic number.

It is an amenable number.

67771001 is a deficient number, since it is larger than the sum of its proper divisors (1).

67771001 is an equidigital number, since it uses as much as digits as its factorization.

67771001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2058, while the sum is 29.

The square root of 67771001 is about 8232.3144376293. The cubic root of 67771001 is about 407.7068111033.

Adding to 67771001 its reverse (10017776), we get a palindrome (77788777).

The spelling of 67771001 in words is "sixty-seven million, seven hundred seventy-one thousand, one".