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1667838961 is a prime number
BaseRepresentation
bin110001101101001…
…0011001111110001
311022020022222221101
41203122103033301
511403431321321
6433255324401
756221253155
oct14332231761
94266288841
101667838961
117864a7108
123a6680701
132076c8a79
1411b713065
159b64e791
hex636933f1

1667838961 has 2 divisors, whose sum is σ = 1667838962. Its totient is φ = 1667838960.

The previous prime is 1667838937. The next prime is 1667838971. The reversal of 1667838961 is 1698387661.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 891380736 + 776458225 = 29856^2 + 27865^2 .

It is a cyclic number.

It is not a de Polignac number, because 1667838961 - 25 = 1667838929 is a prime.

It is not a weakly prime, because it can be changed into another prime (1667838911) 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, 833919480 + 833919481.

It is an arithmetic number, because the mean of its divisors is an integer number (833919481).

Almost surely, 21667838961 is an apocalyptic number.

It is an amenable number.

1667838961 is a deficient number, since it is larger than the sum of its proper divisors (1).

1667838961 is an equidigital number, since it uses as much as digits as its factorization.

1667838961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2612736, while the sum is 55.

The square root of 1667838961 is about 40839.1841372964. The cubic root of 1667838961 is about 1185.9090180712.

The spelling of 1667838961 in words is "one billion, six hundred sixty-seven million, eight hundred thirty-eight thousand, nine hundred sixty-one".