705984 has 28 divisors (see below), whose sum is σ = 1868424. Its totient is φ = 235264.

The previous prime is 705973. The next prime is 705989. The reversal of 705984 is 489507.

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 705984.

It is not an unprimeable number, because it can be changed into a prime (705989) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1647 + ... + 2030.

2⁷⁰⁵⁹⁸⁴ is an apocalyptic number.

It is an amenable number.

705984 is an abundant number, since it is smaller than the sum of its proper divisors (1162440).

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

705984 is a wasteful number, since it uses less digits than its factorization.

705984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3692 (or 3682 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 705984 is about 840.2285403389. The cubic root of 705984 is about 89.0426929792.

The spelling of 705984 in words is "seven hundred five thousand, nine hundred eighty-four".