705663 has 24 divisors (see below), whose sum is σ = 1218048. Its totient is φ = 384912.

The previous prime is 705643. The next prime is 705689. The reversal of 705663 is 366507.

It is not a de Polignac number, because 705663 - 2⁵ = 705631 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (705613) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1206 + ... + 1692.

It is an arithmetic number, because the mean of its divisors is an integer number (50752).

2⁷⁰⁵⁶⁶³ is an apocalyptic number.

705663 is a deficient number, since it is larger than the sum of its proper divisors (512385).

705663 is a wasteful number, since it uses less digits than its factorization.

705663 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 705663 is about 840.0374991630. The cubic root of 705663 is about 89.0291954884.

The spelling of 705663 in words is "seven hundred five thousand, six hundred sixty-three".