705213 has 8 divisors (see below), whose sum is σ = 1044800. Its totient is φ = 470124.

The previous prime is 705209. The next prime is 705247. The reversal of 705213 is 312507.

It is not a de Polignac number, because 705213 - 2² = 705209 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (705293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13033 + ... + 13086.

It is an arithmetic number, because the mean of its divisors is an integer number (130600).

2⁷⁰⁵²¹³ is an apocalyptic number.

It is an amenable number.

705213 is a deficient number, since it is larger than the sum of its proper divisors (339587).

705213 is a wasteful number, since it uses less digits than its factorization.

705213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26128 (or 26122 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 705213 is about 839.7696112625. The cubic root of 705213 is about 89.0102668794.

The spelling of 705213 in words is "seven hundred five thousand, two hundred thirteen".