705972329 has 2 divisors, whose sum is σ = 705972330. Its totient is φ = 705972328.

The previous prime is 705972313. The next prime is 705972391. The reversal of 705972329 is 923279507.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 695904400 + 10067929 = 26380^2 + 3173^2 .

It is an emirp because it is prime and its reverse (923279507) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 705972329 - 2⁴ = 705972313 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 705972329.

It is not a weakly prime, because it can be changed into another prime (705972529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 352986164 + 352986165.

It is an arithmetic number, because the mean of its divisors is an integer number (352986165).

Almost surely, 2^705972329 is an apocalyptic number.

It is an amenable number.

705972329 is a deficient number, since it is larger than the sum of its proper divisors (1).

705972329 is an equidigital number, since it uses as much as digits as its factorization.

705972329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 238140, while the sum is 44.

The square root of 705972329 is about 26570.1398001591. The cubic root of 705972329 is about 890.4220230563.

The spelling of 705972329 in words is "seven hundred five million, nine hundred seventy-two thousand, three hundred twenty-nine".