705796573689 has 27 divisors (see below), whose sum is σ = 1030459366287. Its totient is φ = 465518911104.

The previous prime is 705796573681. The next prime is 705796573733. The reversal of 705796573689 is 986375697507.

The square root of 705796573689 is 840117.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 316929591225 + 388866982464 = 562965^2 + 623592^2 .

It is not a de Polignac number, because 705796573689 - 2³ = 705796573681 is a prime.

It is a super-2 number, since 2×705796573689² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (705796573681) 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 in 26 ways as a sum of consecutive naturals, for example, 244472604 + ... + 244475490.

Almost surely, 2^705796573689 is an apocalyptic number.

705796573689 is the 840117-th square number.

705796573689 is the 420059-th centered octagonal number.

It is an amenable number.

705796573689 is a deficient number, since it is larger than the sum of its proper divisors (324662792598).

705796573689 is an frugal number, since it uses more digits than its factorization.

705796573689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5974 (or 2987 counting only the distinct ones).

The product of its (nonzero) digits is 600112800, while the sum is 72.

The spelling of 705796573689 in words is "seven hundred five billion, seven hundred ninety-six million, five hundred seventy-three thousand, six hundred eighty-nine".