705965 has 8 divisors (see below), whose sum is σ = 912408. Its totient is φ = 521280.

The previous prime is 705949. The next prime is 705967. The reversal of 705965 is 569507.

It can be written as a sum of positive squares in 4 ways, for example, as 3721 + 702244 = 61^2 + 838^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 705965 - 2⁴ = 705949 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (705967) 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, 5366 + ... + 5495.

It is an arithmetic number, because the mean of its divisors is an integer number (114051).

2⁷⁰⁵⁹⁶⁵ is an apocalyptic number.

It is an amenable number.

705965 is a deficient number, since it is larger than the sum of its proper divisors (206443).

705965 is a wasteful number, since it uses less digits than its factorization.

705965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10879.

The product of its (nonzero) digits is 9450, while the sum is 32.

The square root of 705965 is about 840.2172338152. The cubic root of 705965 is about 89.0418941762.

The spelling of 705965 in words is "seven hundred five thousand, nine hundred sixty-five".