823384381 has 2 divisors, whose sum is σ = 823384382. Its totient is φ = 823384380.

The previous prime is 823384379. The next prime is 823384391. The reversal of 823384381 is 183483328.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 463713156 + 359671225 = 21534^2 + 18965^2 .

It is a cyclic number.

It is not a de Polignac number, because 823384381 - 2¹ = 823384379 is a prime.

It is a super-3 number, since 3×823384381³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 823384379, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (823384321) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 411692190 + 411692191.

It is an arithmetic number, because the mean of its divisors is an integer number (411692191).

Almost surely, 2^823384381 is an apocalyptic number.

It is an amenable number.

823384381 is a deficient number, since it is larger than the sum of its proper divisors (1).

823384381 is an equidigital number, since it uses as much as digits as its factorization.

823384381 is an evil number, because the sum of its binary digits is even.

The product of its digits is 110592, while the sum is 40.

The square root of 823384381 is about 28694.6751332020. The cubic root of 823384381 is about 937.2760969532.

The spelling of 823384381 in words is "eight hundred twenty-three million, three hundred eighty-four thousand, three hundred eighty-one".