406005 has 8 divisors (see below), whose sum is σ = 649632. Its totient is φ = 216528.

The previous prime is 405997. The next prime is 406013. The reversal of 406005 is 500604.

It is an interprime number because it is at equal distance from previous prime (405997) and next prime (406013).

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

It is not a de Polignac number, because 406005 - 2³ = 405997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15), and also a Moran number because the ratio is a prime number: 27067 = 406005 / (4 + 0 + 6 + 0 + 0 + 5).

It is a Curzon number.

406005 is a lucky number.

It is a congruent number.

It is an unprimeable number.

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, 13519 + ... + 13548.

It is an arithmetic number, because the mean of its divisors is an integer number (81204).

2⁴⁰⁶⁰⁰⁵ is an apocalyptic number.

It is an amenable number.

406005 is a deficient number, since it is larger than the sum of its proper divisors (243627).

406005 is a wasteful number, since it uses less digits than its factorization.

406005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27075.

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 406005 is about 637.1852164010. The cubic root of 406005 is about 74.0475102744.

Adding to 406005 its reverse (500604), we get a palindrome (906609).

The spelling of 406005 in words is "four hundred six thousand, five".