82384137642137 has 16 divisors (see below), whose sum is σ = 90491004524160. Its totient is φ = 74654388116352.

The previous prime is 82384137642127. The next prime is 82384137642143. The reversal of 82384137642137 is 73124673148328.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 82384137642137 - 2⁶ = 82384137642073 is a prime.

It is a super-2 number, since 2×82384137642137² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82384137642127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172978943 + ... + 173454555.

It is an arithmetic number, because the mean of its divisors is an integer number (5655687782760).

Almost surely, 2^{82384137642137} is an apocalyptic number.

It is an amenable number.

82384137642137 is a deficient number, since it is larger than the sum of its proper divisors (8106866882023).

82384137642137 is a wasteful number, since it uses less digits than its factorization.

82384137642137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872032.

The product of its digits is 32514048, while the sum is 59.

The spelling of 82384137642137 in words is "eighty-two trillion, three hundred eighty-four billion, one hundred thirty-seven million, six hundred forty-two thousand, one hundred thirty-seven".