705751 has 2 divisors, whose sum is σ = 705752. Its totient is φ = 705750.

The previous prime is 705737. The next prime is 705763. The reversal of 705751 is 157507.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 705751 - 2¹⁵ = 672983 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (705781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 352875 + 352876.

It is an arithmetic number, because the mean of its divisors is an integer number (352876).

2⁷⁰⁵⁷⁵¹ is an apocalyptic number.

705751 is a deficient number, since it is larger than the sum of its proper divisors (1).

705751 is an equidigital number, since it uses as much as digits as its factorization.

705751 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1225, while the sum is 25.

The square root of 705751 is about 840.0898761442. The cubic root of 705751 is about 89.0328961423.

The spelling of 705751 in words is "seven hundred five thousand, seven hundred fifty-one".