705465 has 24 divisors (see below), whose sum is σ = 1247688. Its totient is φ = 368640.

The previous prime is 705461. The next prime is 705491. The reversal of 705465 is 564507.

It can be written as a sum of positive squares in 4 ways, for example, as 82944 + 622521 = 288^2 + 789^2 .

It is not a de Polignac number, because 705465 - 2² = 705461 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (705461) 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 23 ways as a sum of consecutive naturals, for example, 2617 + ... + 2873.

It is an arithmetic number, because the mean of its divisors is an integer number (51987).

2⁷⁰⁵⁴⁶⁵ is an apocalyptic number.

It is an amenable number.

705465 is a deficient number, since it is larger than the sum of its proper divisors (542223).

705465 is a wasteful number, since it uses less digits than its factorization.

705465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 705465 is about 839.9196390132. The cubic root of 705465 is about 89.0208678921.

The spelling of 705465 in words is "seven hundred five thousand, four hundred sixty-five".