82739542005 has 12 divisors (see below), whose sum is σ = 143415206220. Its totient is φ = 44127755712.

The previous prime is 82739542001. The next prime is 82739542009. The reversal of 82739542005 is 50024593728.

It is an interprime number because it is at equal distance from previous prime (82739542001) and next prime (82739542009).

It can be written as a sum of positive squares in 2 ways, for example, as 11132993169 + 71606548836 = 105513^2 + 267594^2 .

It is not a de Polignac number, because 82739542005 - 2² = 82739542001 is a prime.

It is a super-2 number, since 2×82739542005² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 1838656489 = 82739542005 / (8 + 2 + 7 + 3 + 9 + 5 + 4 + 2 + 0 + 0 + 5).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82739542001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 919328200 + ... + 919328289.

It is an arithmetic number, because the mean of its divisors is an integer number (11951267185).

Almost surely, 2^82739542005 is an apocalyptic number.

It is an amenable number.

82739542005 is a deficient number, since it is larger than the sum of its proper divisors (60675664215).

82739542005 is a wasteful number, since it uses less digits than its factorization.

82739542005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1838656500 (or 1838656497 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 82739542005 in words is "eighty-two billion, seven hundred thirty-nine million, five hundred forty-two thousand, five".