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77330041 is a prime number
BaseRepresentation
bin1001001101111…
…11011001111001
312101111202212121
410212333121321
5124244030131
611401241241
71626203005
oct446773171
9171452777
1077330041
113a718228
1221a93221
1313037029
14a3ad705
156bc7911
hex49bf679

77330041 has 2 divisors, whose sum is σ = 77330042. Its totient is φ = 77330040.

The previous prime is 77330017. The next prime is 77330083. The reversal of 77330041 is 14003377.

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., 40908816 + 36421225 = 6396^2 + 6035^2 .

It is an emirp because it is prime and its reverse (14003377) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 77330041 - 29 = 77329529 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 77329988 and 77330015.

It is not a weakly prime, because it can be changed into another prime (77330441) 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, 38665020 + 38665021.

It is an arithmetic number, because the mean of its divisors is an integer number (38665021).

Almost surely, 277330041 is an apocalyptic number.

It is an amenable number.

77330041 is a deficient number, since it is larger than the sum of its proper divisors (1).

77330041 is an equidigital number, since it uses as much as digits as its factorization.

77330041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1764, while the sum is 25.

The square root of 77330041 is about 8793.7501101635. The cubic root of 77330041 is about 426.0390557623.

The spelling of 77330041 in words is "seventy-seven million, three hundred thirty thousand, forty-one".