67005901 has 2 divisors, whose sum is σ = 67005902. Its totient is φ = 67005900.

The previous prime is 67005893. The next prime is 67005919. The reversal of 67005901 is 10950076.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 58537801 + 8468100 = 7651^2 + 2910^2 .

It is a cyclic number.

It is not a de Polignac number, because 67005901 - 2³ = 67005893 is a prime.

It is a Chen prime.

It is equal to p_3952090 and since 67005901 and 3952090 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 67005901.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (67003901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33502950 + 33502951.

It is an arithmetic number, because the mean of its divisors is an integer number (33502951).

Almost surely, 2^67005901 is an apocalyptic number.

It is an amenable number.

67005901 is a deficient number, since it is larger than the sum of its proper divisors (1).

67005901 is an equidigital number, since it uses as much as digits as its factorization.

67005901 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1890, while the sum is 28.

The square root of 67005901 is about 8185.7132248815. The cubic root of 67005901 is about 406.1667336723.

Adding to 67005901 its reverse (10950076), we get a palindrome (77955977).

The spelling of 67005901 in words is "sixty-seven million, five thousand, nine hundred one".