705006 has 24 divisors (see below), whose sum is σ = 1558440. Its totient is φ = 230256.

The previous prime is 704999. The next prime is 705011. The reversal of 705006 is 600507.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 705006.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 585 + ... + 1323.

It is an arithmetic number, because the mean of its divisors is an integer number (64935).

2⁷⁰⁵⁰⁰⁶ is an apocalyptic number.

705006 is an abundant number, since it is smaller than the sum of its proper divisors (853434).

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

705006 is a wasteful number, since it uses less digits than its factorization.

705006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 705006 is about 839.6463541277. The cubic root of 705006 is about 89.0015570152.

The spelling of 705006 in words is "seven hundred five thousand, six".