82085734183972 has 12 divisors (see below), whose sum is σ = 148603484298780. Its totient is φ = 39627595812896.

The previous prime is 82085734183861. The next prime is 82085734184009. The reversal of 82085734183972 is 27938143758028.

It can be written as a sum of positive squares in 2 ways, for example, as 35729980231936 + 46355753952036 = 5977456^2 + 6808506^2 .

It is a junction number, because it is equal to n+sod(n) for n = 82085734183898 and 82085734183907.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 353817819643 + ... + 353817819874.

It is an arithmetic number, because the mean of its divisors is an integer number (12383623691565).

Almost surely, 2^{82085734183972} is an apocalyptic number.

It is an amenable number.

82085734183972 is a deficient number, since it is larger than the sum of its proper divisors (66517750114808).

82085734183972 is a wasteful number, since it uses less digits than its factorization.

82085734183972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707635639550 (or 707635639548 counting only the distinct ones).

The product of its (nonzero) digits is 162570240, while the sum is 67.

The spelling of 82085734183972 in words is "eighty-two trillion, eighty-five billion, seven hundred thirty-four million, one hundred eighty-three thousand, nine hundred seventy-two".