405823 has 8 divisors (see below), whose sum is σ = 449280. Its totient is φ = 363480.

The previous prime is 405817. The next prime is 405827. The reversal of 405823 is 328504.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 405823 - 2¹⁷ = 274751 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 405794 and 405803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405827) 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 7 ways as a sum of consecutive naturals, for example, 636 + ... + 1102.

It is an arithmetic number, because the mean of its divisors is an integer number (56160).

2⁴⁰⁵⁸²³ is an apocalyptic number.

405823 is a deficient number, since it is larger than the sum of its proper divisors (43457).

405823 is a wasteful number, since it uses less digits than its factorization.

405823 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557.

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 405823 is about 637.0423847751. The cubic root of 405823 is about 74.0364441865.

The spelling of 405823 in words is "four hundred five thousand, eight hundred twenty-three".