705393 has 12 divisors (see below), whose sum is σ = 1097460. Its totient is φ = 434016.

The previous prime is 705389. The next prime is 705403. The reversal of 705393 is 393507.

705393 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 400689 + 304704 = 633^2 + 552^2 .

It is not a de Polignac number, because 705393 - 2² = 705389 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (705293) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2898 + ... + 3131.

It is an arithmetic number, because the mean of its divisors is an integer number (91455).

2⁷⁰⁵³⁹³ is an apocalyptic number.

It is an amenable number.

705393 is a deficient number, since it is larger than the sum of its proper divisors (392067).

705393 is a wasteful number, since it uses less digits than its factorization.

705393 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6048 (or 6045 counting only the distinct ones).

The product of its (nonzero) digits is 2835, while the sum is 27.

The square root of 705393 is about 839.8767766762. The cubic root of 705393 is about 89.0178392890.

The spelling of 705393 in words is "seven hundred five thousand, three hundred ninety-three".