82973663636241 has 64 divisors (see below), whose sum is σ = 130387138560000. Its totient is φ = 46910443608000.

The previous prime is 82973663636239. The next prime is 82973663636251. The reversal of 82973663636241 is 14263636637928.

It is not a de Polignac number, because 82973663636241 - 2¹ = 82973663636239 is a prime.

It is a super-2 number, since 2×82973663636241² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (82973663636251) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 145111336 + ... + 145682006.

It is an arithmetic number, because the mean of its divisors is an integer number (2037299040000).

Almost surely, 2^{82973663636241} is an apocalyptic number.

It is an amenable number.

82973663636241 is a deficient number, since it is larger than the sum of its proper divisors (47413474923759).

82973663636241 is a wasteful number, since it uses less digits than its factorization.

82973663636241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572195 (or 572181 counting only the distinct ones).

The product of its digits is 282175488, while the sum is 66.

The spelling of 82973663636241 in words is "eighty-two trillion, nine hundred seventy-three billion, six hundred sixty-three million, six hundred thirty-six thousand, two hundred forty-one".