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1006665973 is a prime number
BaseRepresentation
bin111100000000001…
…000000011110101
32121011012221002221
4330000020003311
54030201302343
6243520202341
733642343135
oct7400100365
92534187087
101006665973
11477267055
122411693b1
13130732351
14979a4ac5
155d59b5ed
hex3c0080f5

1006665973 has 2 divisors, whose sum is σ = 1006665974. Its totient is φ = 1006665972.

The previous prime is 1006665971. The next prime is 1006666013. The reversal of 1006665973 is 3795666001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1006285284 + 380689 = 31722^2 + 617^2 .

It is a cyclic number.

It is not a de Polignac number, because 1006665973 - 21 = 1006665971 is a prime.

Together with 1006665971, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1006665971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503332986 + 503332987.

It is an arithmetic number, because the mean of its divisors is an integer number (503332987).

Almost surely, 21006665973 is an apocalyptic number.

It is an amenable number.

1006665973 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006665973 is an equidigital number, since it uses as much as digits as its factorization.

1006665973 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 204120, while the sum is 43.

The square root of 1006665973 is about 31727.9998266515. Note that the first 3 decimals coincide. The cubic root of 1006665973 is about 1002.2170719593.

The spelling of 1006665973 in words is "one billion, six million, six hundred sixty-five thousand, nine hundred seventy-three".