405223 has 16 divisors (see below), whose sum is σ = 513856. Its totient is φ = 311040.

The previous prime is 405221. The next prime is 405227. The reversal of 405223 is 322504.

It is a Cunningham number, because it is equal to 74³-1.

405223 is an esthetic number in base 9, because in such base its adjacent digits differ by 1.

It is a cyclic number.

It is not a de Polignac number, because 405223 - 2¹ = 405221 is a prime.

405223 is an undulating number in base 9.

405223 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 405197 and 405206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5515 + ... + 5587.

It is an arithmetic number, because the mean of its divisors is an integer number (32116).

2⁴⁰⁵²²³ is an apocalyptic number.

405223 is a deficient number, since it is larger than the sum of its proper divisors (108633).

405223 is a wasteful number, since it uses less digits than its factorization.

405223 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154.

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 405223 is about 636.5712843037. The cubic root of 405223 is about 73.9999391283. Note that the first 4 decimals are identical.

Adding to 405223 its reverse (322504), we get a palindrome (727727).

The spelling of 405223 in words is "four hundred five thousand, two hundred twenty-three".