706006617 has 48 divisors (see below), whose sum is σ = 1086746112. Its totient is φ = 405803520.

The previous prime is 706006601. The next prime is 706006667. The reversal of 706006617 is 716600607.

It is not a de Polignac number, because 706006617 - 2⁴ = 706006601 is a prime.

It is not an unprimeable number, because it can be changed into a prime (706006667) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 570123 + ... + 571359.

It is an arithmetic number, because the mean of its divisors is an integer number (22640544).

Almost surely, 2^706006617 is an apocalyptic number.

It is an amenable number.

706006617 is a deficient number, since it is larger than the sum of its proper divisors (380739495).

706006617 is a wasteful number, since it uses less digits than its factorization.

706006617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1326 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 706006617 is about 26570.7850279212. The cubic root of 706006617 is about 890.4364383031.

The spelling of 706006617 in words is "seven hundred six million, six thousand, six hundred seventeen".