705432 has 128 divisors (see below), whose sum is σ = 2419200. Its totient is φ = 165888.

The previous prime is 705427. The next prime is 705437. The reversal of 705432 is 234507.

It is a happy number.

705432 is a nontrivial binomial coefficient, being equal to C(22, 11).

It is an interprime number because it is at equal distance from previous prime (705427) and next prime (705437).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 705399 and 705408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (705437) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37119 + ... + 37137.

It is an arithmetic number, because the mean of its divisors is an integer number (18900).

2⁷⁰⁵⁴³² 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 705432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1209600).

705432 is an abundant number, since it is smaller than the sum of its proper divisors (1713768).

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

705432 is a wasteful number, since it uses less digits than its factorization.

705432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 21.

The square root of 705432 is about 839.8999940469. The cubic root of 705432 is about 89.0194798079.

Adding to 705432 its reverse (234507), we get a palindrome (939939).

The spelling of 705432 in words is "seven hundred five thousand, four hundred thirty-two".