67004081 has 2 divisors, whose sum is σ = 67004082. Its totient is φ = 67004080.

The previous prime is 67004059. The next prime is 67004099. The reversal of 67004081 is 18040076.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 42837025 + 24167056 = 6545^2 + 4916^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-67004081 is a prime.

It is a super-2 number, since 2×67004081² = 8979093741309122, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 67004081.

It is not a weakly prime, because it can be changed into another prime (67004881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33502040 + 33502041.

It is an arithmetic number, because the mean of its divisors is an integer number (33502041).

Almost surely, 2^67004081 is an apocalyptic number.

It is an amenable number.

67004081 is a deficient number, since it is larger than the sum of its proper divisors (1).

67004081 is an equidigital number, since it uses as much as digits as its factorization.

67004081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 67004081 is about 8185.6020548277. The cubic root of 67004081 is about 406.1630562343.

The spelling of 67004081 in words is "sixty-seven million, four thousand, eighty-one".