9712782113 has 2 divisors, whose sum is σ = 9712782114. Its totient is φ = 9712782112.

The previous prime is 9712782103. The next prime is 9712782119. The reversal of 9712782113 is 3112872179.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7067428624 + 2645353489 = 84068^2 + 51433^2 .

It is a cyclic number.

It is not a de Polignac number, because 9712782113 - 2²⁶ = 9645673249 is a prime.

It is a super-2 number, since 2×9712782113² (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (9712782119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4856391056 + 4856391057.

It is an arithmetic number, because the mean of its divisors is an integer number (4856391057).

Almost surely, 2^9712782113 is an apocalyptic number.

It is an amenable number.

9712782113 is a deficient number, since it is larger than the sum of its proper divisors (1).

9712782113 is an equidigital number, since it uses as much as digits as its factorization.

9712782113 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 42336, while the sum is 41.

The square root of 9712782113 is about 98553.4480015793. The cubic root of 9712782113 is about 2133.6075956284.

The spelling of 9712782113 in words is "nine billion, seven hundred twelve million, seven hundred eighty-two thousand, one hundred thirteen".