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857058641 is a prime number
BaseRepresentation
bin110011000101011…
…010110101010001
32012201201002102122
4303011122311101
53223401334031
6221013424025
730144610145
oct6305326521
92181632378
10857058641
113aa87292a
121bb03b015
131087400ba
1481b7d225
155039847b
hex3315ad51

857058641 has 2 divisors, whose sum is σ = 857058642. Its totient is φ = 857058640.

The previous prime is 857058619. The next prime is 857058649. The reversal of 857058641 is 146850758.

It is a happy number.

857058641 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., 674700625 + 182358016 = 25975^2 + 13504^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-857058641 is a prime.

It is a super-2 number, since 2×8570586412 = 1469099028225533762, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 857058592 and 857058601.

It is not a weakly prime, because it can be changed into another prime (857058649) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 428529320 + 428529321.

It is an arithmetic number, because the mean of its divisors is an integer number (428529321).

Almost surely, 2857058641 is an apocalyptic number.

It is an amenable number.

857058641 is a deficient number, since it is larger than the sum of its proper divisors (1).

857058641 is an equidigital number, since it uses as much as digits as its factorization.

857058641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 268800, while the sum is 44.

The square root of 857058641 is about 29275.5638886768. The cubic root of 857058641 is about 949.8831401963.

The spelling of 857058641 in words is "eight hundred fifty-seven million, fifty-eight thousand, six hundred forty-one".