413005 has 4 divisors (see below), whose sum is σ = 495612. Its totient is φ = 330400.

The previous prime is 412987. The next prime is 413009. The reversal of 413005 is 500314.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 131044 + 281961 = 362^2 + 531^2 .

It is not a de Polignac number, because 413005 - 2⁹ = 412493 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413009) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 41296 + ... + 41305.

It is an arithmetic number, because the mean of its divisors is an integer number (123903).

2⁴¹³⁰⁰⁵ is an apocalyptic number.

It is an amenable number.

413005 is a deficient number, since it is larger than the sum of its proper divisors (82607).

413005 is an equidigital number, since it uses as much as digits as its factorization.

413005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82606.

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 413005 is about 642.6546506484. The cubic root of 413005 is about 74.4706429082.

Adding to 413005 its reverse (500314), we get a palindrome (913319).

The spelling of 413005 in words is "four hundred thirteen thousand, five".