82374827728205 has 8 divisors (see below), whose sum is σ = 98858317081752. Its totient is φ = 65894179643968.

The previous prime is 82374827728189. The next prime is 82374827728229. The reversal of 82374827728205 is 50282772847328.

It can be written as a sum of positive squares in 4 ways, for example, as 37083690971044 + 45291136757161 = 6089638^2 + 6729869^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 82374827728205 - 2⁴ = 82374827728189 is a prime.

It is a super-2 number, since 2×82374827728205² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 710253542 + ... + 710369511.

It is an arithmetic number, because the mean of its divisors is an integer number (12357289635219).

Almost surely, 2^{82374827728205} is an apocalyptic number.

It is an amenable number.

82374827728205 is a deficient number, since it is larger than the sum of its proper divisors (16483489353547).

82374827728205 is a wasteful number, since it uses less digits than its factorization.

82374827728205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1420634655.

The product of its (nonzero) digits is 168591360, while the sum is 65.

The spelling of 82374827728205 in words is "eighty-two trillion, three hundred seventy-four billion, eight hundred twenty-seven million, seven hundred twenty-eight thousand, two hundred five".