705315 has 16 divisors (see below), whose sum is σ = 1215648. Its totient is φ = 347136.

The previous prime is 705307. The next prime is 705317. The reversal of 705315 is 513507.

It is a happy number.

It is not a de Polignac number, because 705315 - 2³ = 705307 is a prime.

705315 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 705291 and 705300.

It is not an unprimeable number, because it can be changed into a prime (705317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1614 + ... + 2003.

It is an arithmetic number, because the mean of its divisors is an integer number (75978).

2⁷⁰⁵³¹⁵ is an apocalyptic number.

705315 is a deficient number, since it is larger than the sum of its proper divisors (510333).

705315 is a wasteful number, since it uses less digits than its factorization.

705315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3638.

The product of its (nonzero) digits is 525, while the sum is 21.

The square root of 705315 is about 839.8303400092. The cubic root of 705315 is about 89.0145580697.

The spelling of 705315 in words is "seven hundred five thousand, three hundred fifteen".