82347632641 has 12 divisors (see below), whose sum is σ = 84829276668. Its totient is φ = 79880193792.

The previous prime is 82347632623. The next prime is 82347632701. The reversal of 82347632641 is 14623674328.

It can be written as a sum of positive squares in 6 ways, for example, as 402845041 + 81944787600 = 20071^2 + 286260^2 .

It is not a de Polignac number, because 82347632641 - 2¹³ = 82347624449 is a prime.

It is a super-2 number, since 2×82347632641² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 82347632591 and 82347632600.

It is not an unprimeable number, because it can be changed into a prime (82347632141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4192255 + ... + 4211851.

It is an arithmetic number, because the mean of its divisors is an integer number (7069106389).

Almost surely, 2^82347632641 is an apocalyptic number.

It is an amenable number.

82347632641 is a deficient number, since it is larger than the sum of its proper divisors (2481644027).

82347632641 is an equidigital number, since it uses as much as digits as its factorization.

82347632641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20308 (or 19971 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 46.

The spelling of 82347632641 in words is "eighty-two billion, three hundred forty-seven million, six hundred thirty-two thousand, six hundred forty-one".