705536 has 44 divisors (see below), whose sum is σ = 1547532. Its totient is φ = 319488.

The previous prime is 705533. The next prime is 705559. The reversal of 705536 is 635507.

It can be written as a sum of positive squares in 2 ways, for example, as 295936 + 409600 = 544^2 + 640^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 705536.

It is not an unprimeable number, because it can be changed into a prime (705533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13286 + ... + 13338.

2⁷⁰⁵⁵³⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 705536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773766).

705536 is an abundant number, since it is smaller than the sum of its proper divisors (841996).

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

705536 is a wasteful number, since it uses less digits than its factorization.

705536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 26.

The square root of 705536 is about 839.9619038980. The cubic root of 705536 is about 89.0238542296.

The spelling of 705536 in words is "seven hundred five thousand, five hundred thirty-six".