705384 has 48 divisors (see below), whose sum is σ = 1949220. Its totient is φ = 230400.

The previous prime is 705317. The next prime is 705389. The reversal of 705384 is 483507.

It can be written as a sum of positive squares in 2 ways, for example, as 656100 + 49284 = 810^2 + 222^2 .

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (705389) by changing a digit.

705384 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6934 + ... + 7034.

2⁷⁰⁵³⁸⁴ 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 705384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (974610).

705384 is an abundant number, since it is smaller than the sum of its proper divisors (1243836).

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

705384 is a wasteful number, since it uses less digits than its factorization.

705384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 705384 is about 839.8714187303. The cubic root of 705384 is about 89.0174606991.

It can be divided in two parts, 705 and 384, that added together give a square (1089 = 33²).

The spelling of 705384 in words is "seven hundred five thousand, three hundred eighty-four".