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9671757961 is a prime number
BaseRepresentation
bin10010000000111101…
…10101000010001001
3220222001010012200211
421000132311002021
5124301432223321
64235415201121
7461450405035
oct110036650211
926861105624
109671757961
1141135009a8
121a5b0761a1
13bb19b1908
1467a71b1c5
153b91710e1
hex2407b5089

9671757961 has 2 divisors, whose sum is σ = 9671757962. Its totient is φ = 9671757960.

The previous prime is 9671757889. The next prime is 9671758049. The reversal of 9671757961 is 1697571769.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6167117961 + 3504640000 = 78531^2 + 59200^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-9671757961 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 9671757896 and 9671757905.

It is not a weakly prime, because it can be changed into another prime (9671757661) 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, 4835878980 + 4835878981.

It is an arithmetic number, because the mean of its divisors is an integer number (4835878981).

Almost surely, 29671757961 is an apocalyptic number.

It is an amenable number.

9671757961 is a deficient number, since it is larger than the sum of its proper divisors (1).

9671757961 is an equidigital number, since it uses as much as digits as its factorization.

9671757961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5000940, while the sum is 58.

The square root of 9671757961 is about 98345.0962732764. The cubic root of 9671757961 is about 2130.5994302094.

The spelling of 9671757961 in words is "nine billion, six hundred seventy-one million, seven hundred fifty-seven thousand, nine hundred sixty-one".