406065 has 32 divisors (see below), whose sum is σ = 746496. Its totient is φ = 186560.

The previous prime is 406037. The next prime is 406067. The reversal of 406065 is 560604.

It is not a de Polignac number, because 406065 - 2⁹ = 405553 is a prime.

It is an Ulam number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 406065.

It is not an unprimeable number, because it can be changed into a prime (406067) 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, 3742 + ... + 3848.

It is an arithmetic number, because the mean of its divisors is an integer number (23328).

2⁴⁰⁶⁰⁶⁵ is an apocalyptic number.

It is an amenable number.

406065 is a deficient number, since it is larger than the sum of its proper divisors (340431).

406065 is a wasteful number, since it uses less digits than its factorization.

406065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149.

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 406065 is about 637.2322967333. The cubic root of 406065 is about 74.0511577105.

Adding to 406065 its reverse (560604), we get a palindrome (966669).

It can be divided in two parts, 40 and 6065, that added together give a triangular number (6105 = T₁₁₀).

The spelling of 406065 in words is "four hundred six thousand, sixty-five".