705828507 has 16 divisors (see below), whose sum is σ = 960318720. Its totient is φ = 460972512.

The previous prime is 705828493. The next prime is 705828527.

It is a happy number.

705828507 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 705828507 - 2⁷ = 705828379 is a prime.

It is not an unprimeable number, because it can be changed into a prime (705828527) 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 15 ways as a sum of consecutive naturals, for example, 114498 + ... + 120504.

It is an arithmetic number, because the mean of its divisors is an integer number (60019920).

Almost surely, 2^705828507 is an apocalyptic number.

705828507 is a deficient number, since it is larger than the sum of its proper divisors (254490213).

705828507 is a wasteful number, since it uses less digits than its factorization.

705828507 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6802.

The product of its (nonzero) digits is 156800, while the sum is 42.

The square root of 705828507 is about 26567.4332030778. The cubic root of 705828507 is about 890.3615528044.

The spelling of 705828507 in words is "seven hundred five million, eight hundred twenty-eight thousand, five hundred seven".