705330 has 48 divisors (see below), whose sum is σ = 1945944. Its totient is φ = 176640.

The previous prime is 705317. The next prime is 705389. The reversal of 705330 is 33507.

It can be written as a sum of positive squares in 4 ways, for example, as 594441 + 110889 = 771^2 + 333^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is an unprimeable number.

705330 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 23 ways as a sum of consecutive naturals, for example, 1300 + ... + 1760.

2⁷⁰⁵³³⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 705330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (972972).

705330 is an abundant number, since it is smaller than the sum of its proper divisors (1240614).

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

705330 is a wasteful number, since it uses less digits than its factorization.

705330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 315, while the sum is 18.

The square root of 705330 is about 839.8392703369. The cubic root of 705330 is about 89.0151890922.

Adding to 705330 its reverse (33507), we get a palindrome (738837).

It can be divided in two parts, 705 and 330, that added together give a triangular number (1035 = T₄₅).

The spelling of 705330 in words is "seven hundred five thousand, three hundred thirty".