705224 has 16 divisors (see below), whose sum is σ = 1424220. Its totient is φ = 325440.

The previous prime is 705209. The next prime is 705247. The reversal of 705224 is 422507.

705224 = 115² + 116² + ... + 153².

It can be written as a sum of positive squares in 2 ways, for example, as 669124 + 36100 = 818^2 + 190^2 .

It is a junction number, because it is equal to n+sod(n) for n = 705196 and 705205.

It is an unprimeable number.

705224 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 3 ways as a sum of consecutive naturals, for example, 3287 + ... + 3494.

2⁷⁰⁵²²⁴ is an apocalyptic number.

It is an amenable number.

705224 is an abundant number, since it is smaller than the sum of its proper divisors (718996).

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

705224 is a wasteful number, since it uses less digits than its factorization.

705224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6800 (or 6796 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 20.

The square root of 705224 is about 839.7761606523. The cubic root of 705224 is about 89.0107296747.

It can be divided in two parts, 705 and 224, that added together give a palindrome (929).

The spelling of 705224 in words is "seven hundred five thousand, two hundred twenty-four".