705585507 has 8 divisors (see below), whose sum is σ = 1026306240. Its totient is φ = 427627560.

The previous prime is 705585487. The next prime is 705585511.

It is a happy number.

705585507 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 705585507 - 2⁷ = 705585379 is a prime.

It is a super-3 number, since 3×705585507³ (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (705585557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10690657 + ... + 10690722.

It is an arithmetic number, because the mean of its divisors is an integer number (128288280).

Almost surely, 2^705585507 is an apocalyptic number.

705585507 is a deficient number, since it is larger than the sum of its proper divisors (320720733).

705585507 is a wasteful number, since it uses less digits than its factorization.

705585507 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21381393.

The product of its (nonzero) digits is 245000, while the sum is 42.

The square root of 705585507 is about 26562.8595410961. The cubic root of 705585507 is about 890.2593642941.

The spelling of 705585507 in words is "seven hundred five million, five hundred eighty-five thousand, five hundred seven".