705584 has 40 divisors (see below), whose sum is σ = 1577280. Its totient is φ = 302400.

The previous prime is 705559. The next prime is 705613. The reversal of 705584 is 485507.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3239 + ... + 3449.

It is an arithmetic number, because the mean of its divisors is an integer number (39432).

2⁷⁰⁵⁵⁸⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 705584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788640).

705584 is an abundant number, since it is smaller than the sum of its proper divisors (871696).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

705584 is a wasteful number, since it uses less digits than its factorization.

705584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 29.

The square root of 705584 is about 839.9904761365. The cubic root of 705584 is about 89.0258730484.

The spelling of 705584 in words is "seven hundred five thousand, five hundred eighty-four".