705645 has 16 divisors (see below), whose sum is σ = 1254720. Its totient is φ = 376272.

The previous prime is 705643. The next prime is 705689. The reversal of 705645 is 546507.

705645 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 705645 - 2¹ = 705643 is a prime.

It is a super-3 number, since 3×705645³ = 1054095745608633375, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (705643) 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, 2479 + ... + 2748.

It is an arithmetic number, because the mean of its divisors is an integer number (78420).

2⁷⁰⁵⁶⁴⁵ is an apocalyptic number.

It is an amenable number.

705645 is a deficient number, since it is larger than the sum of its proper divisors (549075).

705645 is a wasteful number, since it uses less digits than its factorization.

705645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5241 (or 5235 counting only the distinct ones).

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

The square root of 705645 is about 840.0267852872. The cubic root of 705645 is about 89.0284384986.

The spelling of 705645 in words is "seven hundred five thousand, six hundred forty-five".