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9985373 is a prime number
BaseRepresentation
bin100110000101…
…110101011101
3200210022100122
4212011311131
510024012443
6554004325
7150605606
oct46056535
920708318
109985373
115700182
1234166a5
1320b8008
14147cdad
15d23968
hex985d5d

9985373 has 2 divisors, whose sum is σ = 9985374. Its totient is φ = 9985372.

The previous prime is 9985361. The next prime is 9985397. The reversal of 9985373 is 3735899.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5583769 + 4401604 = 2363^2 + 2098^2 .

It is a cyclic number.

It is not a de Polignac number, because 9985373 - 216 = 9919837 is a prime.

It is a super-3 number, since 3×99853733 (a number of 22 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (9985303) 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, 4992686 + 4992687.

It is an arithmetic number, because the mean of its divisors is an integer number (4992687).

Almost surely, 29985373 is an apocalyptic number.

It is an amenable number.

9985373 is a deficient number, since it is larger than the sum of its proper divisors (1).

9985373 is an equidigital number, since it uses as much as digits as its factorization.

9985373 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 204120, while the sum is 44.

The square root of 9985373 is about 3159.9640820744. The cubic root of 9985373 is about 215.3383746920.

The spelling of 9985373 in words is "nine million, nine hundred eighty-five thousand, three hundred seventy-three".