705204 has 36 divisors (see below), whose sum is σ = 1878240. Its totient is φ = 222480.

The previous prime is 705197. The next prime is 705209. The reversal of 705204 is 402507.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (705209) by changing a digit.

705204 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 169 + ... + 1199.

2⁷⁰⁵²⁰⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 705204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (939120).

705204 is an abundant number, since it is smaller than the sum of its proper divisors (1173036).

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

705204 is a wasteful number, since it uses less digits than its factorization.

705204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060 (or 1055 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 705204 is about 839.7642526328. The cubic root of 705204 is about 89.0098882251.

It can be divided in two parts, 705 and 204, that added together give a palindrome (909).

The spelling of 705204 in words is "seven hundred five thousand, two hundred four".