82706747467653 has 12 divisors (see below), whose sum is σ = 121719364198380. Its totient is φ = 54097495198656.

The previous prime is 82706747467613. The next prime is 82706747467693. The reversal of 82706747467653 is 35676474760728.

82706747467653 is a `hidden beast` number, since 8 + 2 + 7 + 0 + 67 + 47 + 467 + 65 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (82706747467613) and next prime (82706747467693).

It can be written as a sum of positive squares in 2 ways, for example, as 34542620026209 + 48164127441444 = 5877297^2 + 6940038^2 .

It is a de Polignac number, because none of the positive numbers 2^k-82706747467653 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82706747467613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 86694703368 + ... + 86694704321.

It is an arithmetic number, because the mean of its divisors is an integer number (10143280349865).

Almost surely, 2^{82706747467653} is an apocalyptic number.

It is an amenable number.

82706747467653 is a deficient number, since it is larger than the sum of its proper divisors (39012616730727).

82706747467653 is a wasteful number, since it uses less digits than its factorization.

82706747467653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173389407748 (or 173389407745 counting only the distinct ones).

The product of its (nonzero) digits is 1991485440, while the sum is 72.

It can be divided in two parts, 82706747 and 467653, that added together give a square (83174400 = 9120²).

The spelling of 82706747467653 in words is "eighty-two trillion, seven hundred six billion, seven hundred forty-seven million, four hundred sixty-seven thousand, six hundred fifty-three".