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9705397061 is a prime number
BaseRepresentation
bin10010000100111110…
…01001101101000101
3221001101102020212102
421002133021231011
5124334040201221
64243020201445
7462336341153
oct110237115505
927041366772
109705397061
114130497508
121a6a399285
13bb895c0c9
14680d963d3
153bc0b830b
hex2427c9b45

9705397061 has 2 divisors, whose sum is σ = 9705397062. Its totient is φ = 9705397060.

The previous prime is 9705396991. The next prime is 9705397069. The reversal of 9705397061 is 1607935079.

It is a happy number.

9705397061 is digitally balanced in base 3, 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., 9252516100 + 452880961 = 96190^2 + 21281^2 .

It is a cyclic number.

It is not a de Polignac number, because 9705397061 - 214 = 9705380677 is a prime.

It is a super-2 number, since 2×97053970612 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 9705396997 and 9705397015.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (9705397069) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4852698530 + 4852698531.

It is an arithmetic number, because the mean of its divisors is an integer number (4852698531).

Almost surely, 29705397061 is an apocalyptic number.

It is an amenable number.

9705397061 is a deficient number, since it is larger than the sum of its proper divisors (1).

9705397061 is an equidigital number, since it uses as much as digits as its factorization.

9705397061 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 357210, while the sum is 47.

The square root of 9705397061 is about 98515.9736337209. The cubic root of 9705397061 is about 2133.0667002024.

The spelling of 9705397061 in words is "nine billion, seven hundred five million, three hundred ninety-seven thousand, sixty-one".