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317616641 is a prime number
BaseRepresentation
bin10010111011100…
…111001000000001
3211010122121010022
4102323213020001
51122302213031
651303343225
710604461016
oct2273471001
9733577108
10317616641
111533170a1
128a451b15
1350a58454
143027b70d
151cd3d97b
hex12ee7201

317616641 has 2 divisors, whose sum is σ = 317616642. Its totient is φ = 317616640.

The previous prime is 317616631. The next prime is 317616643. The reversal of 317616641 is 146616713.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 248377600 + 69239041 = 15760^2 + 8321^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-317616641 is a prime.

Together with 317616643, 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 (317616643) 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, 158808320 + 158808321.

It is an arithmetic number, because the mean of its divisors is an integer number (158808321).

Almost surely, 2317616641 is an apocalyptic number.

It is an amenable number.

317616641 is a deficient number, since it is larger than the sum of its proper divisors (1).

317616641 is an equidigital number, since it uses as much as digits as its factorization.

317616641 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 18144, while the sum is 35.

The square root of 317616641 is about 17821.8024060419. The cubic root of 317616641 is about 682.2880258757.

The spelling of 317616641 in words is "three hundred seventeen million, six hundred sixteen thousand, six hundred forty-one".