705733 has 8 divisors (see below), whose sum is σ = 826560. Its totient is φ = 589920.

The previous prime is 705713. The next prime is 705737. The reversal of 705733 is 337507.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-705733 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 705698 and 705707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (705737) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 943 + ... + 1516.

It is an arithmetic number, because the mean of its divisors is an integer number (103320).

2⁷⁰⁵⁷³³ is an apocalyptic number.

It is an amenable number.

705733 is a deficient number, since it is larger than the sum of its proper divisors (120827).

705733 is a wasteful number, since it uses less digits than its factorization.

705733 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2507.

The product of its (nonzero) digits is 2205, while the sum is 25.

The square root of 705733 is about 840.0791629364. The cubic root of 705733 is about 89.0321392154.

The spelling of 705733 in words is "seven hundred five thousand, seven hundred thirty-three".