705823 has 4 divisors (see below), whose sum is σ = 747360. Its totient is φ = 664288.

The previous prime is 705821. The next prime is 705827. The reversal of 705823 is 328507.

705823 is nontrivially palindromic in base 15.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 328507 = 31 ⋅10597.

It is a cyclic number.

It is not a de Polignac number, because 705823 - 2¹ = 705821 is a prime.

It is a super-2 number, since 2×705823² = 996372214658, which contains 22 as substring.

It is a Duffinian number.

705823 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (705821) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 20743 + ... + 20776.

It is an arithmetic number, because the mean of its divisors is an integer number (186840).

2⁷⁰⁵⁸²³ is an apocalyptic number.

705823 is a deficient number, since it is larger than the sum of its proper divisors (41537).

705823 is a wasteful number, since it uses less digits than its factorization.

705823 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41536.

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 705823 is about 840.1327276092. The cubic root of 705823 is about 89.0359237212.

The spelling of 705823 in words is "seven hundred five thousand, eight hundred twenty-three".