705307823 has 32 divisors (see below), whose sum is σ = 805593600. Its totient is φ = 612057600.

The previous prime is 705307763. The next prime is 705307829. The reversal of 705307823 is 328703507.

It is not a de Polignac number, because 705307823 - 2¹⁶ = 705242287 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (705307829) 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 31 ways as a sum of consecutive naturals, for example, 5074088 + ... + 5074226.

It is an arithmetic number, because the mean of its divisors is an integer number (25174800).

Almost surely, 2^705307823 is an apocalyptic number.

705307823 is a gapful number since it is divisible by the number (73) formed by its first and last digit.

705307823 is a deficient number, since it is larger than the sum of its proper divisors (100285777).

705307823 is a wasteful number, since it uses less digits than its factorization.

705307823 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383.

The product of its (nonzero) digits is 35280, while the sum is 35.

The square root of 705307823 is about 26557.6321045382. The cubic root of 705307823 is about 890.1425614328.

The spelling of 705307823 in words is "seven hundred five million, three hundred seven thousand, eight hundred twenty-three".