705933 has 6 divisors (see below), whose sum is σ = 1019694. Its totient is φ = 470616.

The previous prime is 705919. The next prime is 705937. The reversal of 705933 is 339507.

705933 is a `hidden beast` number, since 70 + 593 + 3 = 666.

705933 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 only one way, i.e., 514089 + 191844 = 717^2 + 438^2 .

It is not a de Polignac number, because 705933 - 2⁹ = 705421 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 705897 and 705906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (705937) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 39210 + ... + 39227.

It is an arithmetic number, because the mean of its divisors is an integer number (169949).

2⁷⁰⁵⁹³³ is an apocalyptic number.

It is an amenable number.

705933 is a deficient number, since it is larger than the sum of its proper divisors (313761).

705933 is a wasteful number, since it uses less digits than its factorization.

705933 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78443 (or 78440 counting only the distinct ones).

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

The square root of 705933 is about 840.1981909050. The cubic root of 705933 is about 89.0405487914.

The spelling of 705933 in words is "seven hundred five thousand, nine hundred thirty-three".