82712337741 has 24 divisors (see below), whose sum is σ = 130486809024. Its totient is φ = 50070144960.

The previous prime is 82712337707. The next prime is 82712337769. The reversal of 82712337741 is 14773321728.

82712337741 is a `hidden beast` number, since 8 + 271 + 2 + 3 + 377 + 4 + 1 = 666.

It is not a de Polignac number, because 82712337741 - 2⁶ = 82712337677 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82712333741) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 402601 + ... + 572286.

It is an arithmetic number, because the mean of its divisors is an integer number (5436950376).

Almost surely, 2^82712337741 is an apocalyptic number.

It is an amenable number.

82712337741 is a deficient number, since it is larger than the sum of its proper divisors (47774471283).

82712337741 is a wasteful number, since it uses less digits than its factorization.

82712337741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975761 (or 975758 counting only the distinct ones).

The product of its digits is 395136, while the sum is 45.

The spelling of 82712337741 in words is "eighty-two billion, seven hundred twelve million, three hundred thirty-seven thousand, seven hundred forty-one".