705985829 has 2 divisors, whose sum is σ = 705985830. Its totient is φ = 705985828.

The previous prime is 705985771. The next prime is 705985867. The reversal of 705985829 is 928589507.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 630261025 + 75724804 = 25105^2 + 8702^2 .

It is a cyclic number.

It is not a de Polignac number, because 705985829 - 2¹² = 705981733 is a prime.

It is a super-3 number, since 3×705985829³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (705985429) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 352992914 + 352992915.

It is an arithmetic number, because the mean of its divisors is an integer number (352992915).

Almost surely, 2^705985829 is an apocalyptic number.

It is an amenable number.

705985829 is a deficient number, since it is larger than the sum of its proper divisors (1).

705985829 is an equidigital number, since it uses as much as digits as its factorization.

705985829 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1814400, while the sum is 53.

The square root of 705985829 is about 26570.3938435244. The cubic root of 705985829 is about 890.4276987370.

The spelling of 705985829 in words is "seven hundred five million, nine hundred eighty-five thousand, eight hundred twenty-nine".