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814890617 is a prime number
BaseRepresentation
bin110000100100100…
…011111001111001
32002210100201202222
4300210203321321
53132102444432
6212505533425
726123312252
oct6044437171
92083321688
10814890617
11388a91422
121a8aa4275
13cca977c8
147a323b29
154b819112
hex30923e79

814890617 has 2 divisors, whose sum is σ = 814890618. Its totient is φ = 814890616.

The previous prime is 814890589. The next prime is 814890619. The reversal of 814890617 is 716098418.

814890617 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 757570576 + 57320041 = 27524^2 + 7571^2 .

It is a cyclic number.

It is not a de Polignac number, because 814890617 - 214 = 814874233 is a prime.

Together with 814890619, 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 (814890619) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 407445308 + 407445309.

It is an arithmetic number, because the mean of its divisors is an integer number (407445309).

Almost surely, 2814890617 is an apocalyptic number.

It is an amenable number.

814890617 is a deficient number, since it is larger than the sum of its proper divisors (1).

814890617 is an equidigital number, since it uses as much as digits as its factorization.

814890617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96768, while the sum is 44.

The square root of 814890617 is about 28546.2890232689. The cubic root of 814890617 is about 934.0420730527.

The spelling of 814890617 in words is "eight hundred fourteen million, eight hundred ninety thousand, six hundred seventeen".