705222 has 48 divisors (see below), whose sum is σ = 1815840. Its totient is φ = 193536.

The previous prime is 705209. The next prime is 705247. The reversal of 705222 is 222507.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 705195 and 705204.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 705222.

It is an unprimeable number.

705222 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, 3558 + ... + 3750.

It is an arithmetic number, because the mean of its divisors is an integer number (37830).

2⁷⁰⁵²²² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 705222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907920).

705222 is an abundant number, since it is smaller than the sum of its proper divisors (1110618).

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

705222 is a wasteful number, since it uses less digits than its factorization.

705222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 705222 is about 839.7749698580. The cubic root of 705222 is about 89.0106455305.

Adding to 705222 its reverse (222507), we get a palindrome (927729).

The spelling of 705222 in words is "seven hundred five thousand, two hundred twenty-two".