1005693329 has 2 divisors, whose sum is σ = 1005693330. Its totient is φ = 1005693328.

The previous prime is 1005693319. The next prime is 1005693343. The reversal of 1005693329 is 9233965001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 693110929 + 312582400 = 26327^2 + 17680^2 .

It is an emirp because it is prime and its reverse (9233965001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1005693329 is a prime.

It is a super-3 number, since 3×1005693329³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1005693292 and 1005693301.

It is not a weakly prime, because it can be changed into another prime (1005693319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502846664 + 502846665.

It is an arithmetic number, because the mean of its divisors is an integer number (502846665).

Almost surely, 2^1005693329 is an apocalyptic number.

It is an amenable number.

1005693329 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005693329 is an equidigital number, since it uses as much as digits as its factorization.

1005693329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 43740, while the sum is 38.

The square root of 1005693329 is about 31712.6682731050. The cubic root of 1005693329 is about 1001.8941861268.

The spelling of 1005693329 in words is "one billion, five million, six hundred ninety-three thousand, three hundred twenty-nine".