82730716732137 has 4 divisors (see below), whose sum is σ = 110307622309520. Its totient is φ = 55153811154756.

The previous prime is 82730716732129. The next prime is 82730716732177. The reversal of 82730716732137 is 73123761703728.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 82730716732137 - 2³ = 82730716732129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82730716732117) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13788452788687 + ... + 13788452788692.

It is an arithmetic number, because the mean of its divisors is an integer number (27576905577380).

Almost surely, 2^{82730716732137} is an apocalyptic number.

It is an amenable number.

82730716732137 is a deficient number, since it is larger than the sum of its proper divisors (27576905577383).

82730716732137 is a wasteful number, since it uses less digits than its factorization.

82730716732137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27576905577382.

The product of its (nonzero) digits is 12446784, while the sum is 57.

The spelling of 82730716732137 in words is "eighty-two trillion, seven hundred thirty billion, seven hundred sixteen million, seven hundred thirty-two thousand, one hundred thirty-seven".