822181331 has 2 divisors, whose sum is σ = 822181332. Its totient is φ = 822181330.

The previous prime is 822181313. The next prime is 822181337. The reversal of 822181331 is 133181228.

822181331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with previous prime (822181313) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 822181331 - 2⁶ = 822181267 is a prime.

It is a super-2 number, since 2×822181331² = 1351964282089863122, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 822181294 and 822181303.

It is not a weakly prime, because it can be changed into another prime (822181337) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 411090665 + 411090666.

It is an arithmetic number, because the mean of its divisors is an integer number (411090666).

Almost surely, 2^822181331 is an apocalyptic number.

822181331 is a deficient number, since it is larger than the sum of its proper divisors (1).

822181331 is an equidigital number, since it uses as much as digits as its factorization.

822181331 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2304, while the sum is 29.

The square root of 822181331 is about 28673.7045217391. The cubic root of 822181331 is about 936.8193885774.

The spelling of 822181331 in words is "eight hundred twenty-two million, one hundred eighty-one thousand, three hundred thirty-one".