705757 has 6 divisors (see below), whose sum is σ = 763322. Its totient is φ = 648672.

The previous prime is 705751. The next prime is 705763. The reversal of 705757 is 757507.

It is an interprime number because it is at equal distance from previous prime (705751) and next prime (705763).

It can be written as a sum of positive squares in 3 ways, for example, as 10201 + 695556 = 101^2 + 834^2 .

It is not a de Polignac number, because 705757 - 2¹¹ = 703709 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 (705751) 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 in 5 ways as a sum of consecutive naturals, for example, 2913 + ... + 3145.

2⁷⁰⁵⁷⁵⁷ is an apocalyptic number.

It is an amenable number.

705757 is a deficient number, since it is larger than the sum of its proper divisors (57565).

705757 is an equidigital number, since it uses as much as digits as its factorization.

705757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 8575, while the sum is 31.

The square root of 705757 is about 840.0934471831. The cubic root of 705757 is about 89.0331484484.

The spelling of 705757 in words is "seven hundred five thousand, seven hundred fifty-seven".