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838656961 is a prime number
BaseRepresentation
bin110001111111001…
…110001111000001
32011110002012001221
4301333032033001
53204144010321
6215115155041
726532316012
oct6177161701
92143065057
10838656961
113a044442a
121b4a45a81
1310499932c
147d54d009
154d960e41
hex31fce3c1

838656961 has 2 divisors, whose sum is σ = 838656962. Its totient is φ = 838656960.

The previous prime is 838656953. The next prime is 838656967. The reversal of 838656961 is 169656838.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 838449936 + 207025 = 28956^2 + 455^2 .

It is a cyclic number.

It is not a de Polignac number, because 838656961 - 23 = 838656953 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 838656899 and 838656908.

It is not a weakly prime, because it can be changed into another prime (838656967) 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, 419328480 + 419328481.

It is an arithmetic number, because the mean of its divisors is an integer number (419328481).

Almost surely, 2838656961 is an apocalyptic number.

It is an amenable number.

838656961 is a deficient number, since it is larger than the sum of its proper divisors (1).

838656961 is an equidigital number, since it uses as much as digits as its factorization.

838656961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1866240, while the sum is 52.

The square root of 838656961 is about 28959.5745997762. The cubic root of 838656961 is about 943.0356669508.

The spelling of 838656961 in words is "eight hundred thirty-eight million, six hundred fifty-six thousand, nine hundred sixty-one".