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67004417 is a prime number
BaseRepresentation
bin1111111110011…
…0100000000001
311200002011210002
43333212200001
5114123120132
610352045345
71442346104
oct377464001
9150064702
1067004417
1134905457
121a533855
1310b601ac
148c8273b
155d38262
hex3fe6801

67004417 has 2 divisors, whose sum is σ = 67004418. Its totient is φ = 67004416.

The previous prime is 67004411. The next prime is 67004453. The reversal of 67004417 is 71440076.

It is a happy number.

67004417 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 51825601 + 15178816 = 7199^2 + 3896^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-67004417 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 67004417.

It is not a weakly prime, because it can be changed into another prime (67004411) 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, 33502208 + 33502209.

It is an arithmetic number, because the mean of its divisors is an integer number (33502209).

Almost surely, 267004417 is an apocalyptic number.

It is an amenable number.

67004417 is a deficient number, since it is larger than the sum of its proper divisors (1).

67004417 is an equidigital number, since it uses as much as digits as its factorization.

67004417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4704, while the sum is 29.

The square root of 67004417 is about 8185.6225786436. The cubic root of 67004417 is about 406.1637351509.

The spelling of 67004417 in words is "sixty-seven million, four thousand, four hundred seventeen".