705306 has 24 divisors (see below), whose sum is σ = 1641600. Its totient is φ = 201432.

The previous prime is 705293. The next prime is 705307. The reversal of 705306 is 603507.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (705307) by changing a digit.

705306 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, 906 + ... + 1493.

It is an arithmetic number, because the mean of its divisors is an integer number (68400).

2⁷⁰⁵³⁰⁶ is an apocalyptic number.

705306 is an abundant number, since it is smaller than the sum of its proper divisors (936294).

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

705306 is a wasteful number, since it uses less digits than its factorization.

705306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2418 (or 2411 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 21.

The square root of 705306 is about 839.8249817670. The cubic root of 705306 is about 89.0141794519.

The spelling of 705306 in words is "seven hundred five thousand, three hundred six".