382839001141 has 2 divisors, whose sum is σ = 382839001142. Its totient is φ = 382839001140.

The previous prime is 382839001123. The next prime is 382839001151. The reversal of 382839001141 is 141100938283.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 382548435025 + 290566116 = 618505^2 + 17046^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-382839001141 is a prime.

It is a super-3 number, since 3×382839001141³ (a number of 36 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 382839001094 and 382839001103.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (382839001151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 191419500570 + 191419500571.

It is an arithmetic number, because the mean of its divisors is an integer number (191419500571).

Almost surely, 2^382839001141 is an apocalyptic number.

It is an amenable number.

382839001141 is a deficient number, since it is larger than the sum of its proper divisors (1).

382839001141 is an equidigital number, since it uses as much as digits as its factorization.

382839001141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 41472, while the sum is 40.

The spelling of 382839001141 in words is "three hundred eighty-two billion, eight hundred thirty-nine million, one thousand, one hundred forty-one".