82127242323 has 24 divisors (see below), whose sum is σ = 135655104000. Its totient is φ = 46902169584.

The previous prime is 82127242321. The next prime is 82127242357. The reversal of 82127242323 is 32324272128.

82127242323 is a `hidden beast` number, since 8 + 21 + 272 + 42 + 323 = 666.

It is not a de Polignac number, because 82127242323 - 2¹ = 82127242321 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82127242321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 276603 + ... + 490676.

It is an arithmetic number, because the mean of its divisors is an integer number (5652296000).

Almost surely, 2^82127242323 is an apocalyptic number.

82127242323 is a deficient number, since it is larger than the sum of its proper divisors (53527861677).

82127242323 is a wasteful number, since it uses less digits than its factorization.

82127242323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768991 (or 768988 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The spelling of 82127242323 in words is "eighty-two billion, one hundred twenty-seven million, two hundred forty-two thousand, three hundred twenty-three".