705216 has 28 divisors (see below), whose sum is σ = 1866392. Its totient is φ = 235008.

The previous prime is 705209. The next prime is 705247. The reversal of 705216 is 612507.

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 705192 and 705201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1645 + ... + 2028.

2⁷⁰⁵²¹⁶ is an apocalyptic number.

It is an amenable number.

705216 is an abundant number, since it is smaller than the sum of its proper divisors (1161176).

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

705216 is a wasteful number, since it uses less digits than its factorization.

705216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3688 (or 3678 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 705216 is about 839.7713974648. The cubic root of 705216 is about 89.0103930968.

The spelling of 705216 in words is "seven hundred five thousand, two hundred sixteen".