82673424382361 has 8 divisors (see below), whose sum is σ = 83497161583944. Its totient is φ = 81849788915200.

The previous prime is 82673424382343. The next prime is 82673424382369. The reversal of 82673424382361 is 16328342437628.

It can be written as a sum of positive squares in 4 ways, for example, as 39791305561225 + 42882118821136 = 6308035^2 + 6548444^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 82673424382361 - 2²⁶ = 82673357273497 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 82673424382361.

It is not an unprimeable number, because it can be changed into a prime (82673424382369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23799710 + ... + 27051303.

It is an arithmetic number, because the mean of its divisors is an integer number (10437145197993).

Almost surely, 2^{82673424382361} is an apocalyptic number.

It is an amenable number.

82673424382361 is a deficient number, since it is larger than the sum of its proper divisors (823737201583).

82673424382361 is a wasteful number, since it uses less digits than its factorization.

82673424382361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50867211.

The product of its digits is 55738368, while the sum is 59.

The spelling of 82673424382361 in words is "eighty-two trillion, six hundred seventy-three billion, four hundred twenty-four million, three hundred eighty-two thousand, three hundred sixty-one".