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857007817 is a prime number
BaseRepresentation
bin110011000101001…
…110011011001001
32012201121111201021
4303011032123021
53223343222232
6221012352441
730144306031
oct6305163311
92181544637
10857007817
113aa838726
121bb015721
13108722c23
1481b688c1
1550388397
hex3314e6c9

857007817 has 2 divisors, whose sum is σ = 857007818. Its totient is φ = 857007816.

The previous prime is 857007799. The next prime is 857007821. The reversal of 857007817 is 718700758.

It is a happy number.

857007817 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 681418816 + 175589001 = 26104^2 + 13251^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-857007817 is a prime.

It is not a weakly prime, because it can be changed into another prime (857007847) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 428503908 + 428503909.

It is an arithmetic number, because the mean of its divisors is an integer number (428503909).

Almost surely, 2857007817 is an apocalyptic number.

It is an amenable number.

857007817 is a deficient number, since it is larger than the sum of its proper divisors (1).

857007817 is an equidigital number, since it uses as much as digits as its factorization.

857007817 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 109760, while the sum is 43.

The square root of 857007817 is about 29274.6958481211. The cubic root of 857007817 is about 949.8643636456.

The spelling of 857007817 in words is "eight hundred fifty-seven million, seven thousand, eight hundred seventeen".