705793 has 12 divisors (see below), whose sum is σ = 819280. Its totient is φ = 605880.

The previous prime is 705787. The next prime is 705821. The reversal of 705793 is 397507.

705793 = T₁₁₂ + T₁₁₃ + ... + T₁₇₇.

It is not a de Polignac number, because 705793 - 2¹³ = 697601 is a prime.

It is not an unprimeable number, because it can be changed into a prime (705713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2146 + ... + 2452.

2⁷⁰⁵⁷⁹³ is an apocalyptic number.

It is an amenable number.

705793 is a deficient number, since it is larger than the sum of its proper divisors (113487).

705793 is a wasteful number, since it uses less digits than its factorization.

705793 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 6615, while the sum is 31.

The square root of 705793 is about 840.1148730977. The cubic root of 705793 is about 89.0346622550.

The spelling of 705793 in words is "seven hundred five thousand, seven hundred ninety-three".