705968333 has 18 divisors (see below), whose sum is σ = 872395146. Its totient is φ = 569509248.

The previous prime is 705968323. The next prime is 705968339. The reversal of 705968333 is 333869507.

It can be written as a sum of positive squares in 3 ways, for example, as 163916809 + 542051524 = 12803^2 + 23282^2 .

It is not a de Polignac number, because 705968333 - 2²⁴ = 689191117 is a prime.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (705968339) 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 17 ways as a sum of consecutive naturals, for example, 10766 + ... + 39087.

It is an arithmetic number, because the mean of its divisors is an integer number (48466397).

Almost surely, 2^705968333 is an apocalyptic number.

It is an amenable number.

705968333 is a deficient number, since it is larger than the sum of its proper divisors (166426813).

705968333 is a wasteful number, since it uses less digits than its factorization.

705968333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49901 (or 49877 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 44.

The square root of 705968333 is about 26570.0646028571. The cubic root of 705968333 is about 890.4203430409.

The spelling of 705968333 in words is "seven hundred five million, nine hundred sixty-eight thousand, three hundred thirty-three".