413585 has 8 divisors (see below), whose sum is σ = 500136. Its totient is φ = 328320.

The previous prime is 413579. The next prime is 413587. The reversal of 413585 is 585314.

It can be written as a sum of positive squares in 4 ways, for example, as 14161 + 399424 = 119^2 + 632^2 .

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

It is not a de Polignac number, because 413585 - 2⁶ = 413521 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (413587) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 677 + ... + 1133.

It is an arithmetic number, because the mean of its divisors is an integer number (62517).

2⁴¹³⁵⁸⁵ is an apocalyptic number.

It is an amenable number.

413585 is a deficient number, since it is larger than the sum of its proper divisors (86551).

413585 is a wasteful number, since it uses less digits than its factorization.

413585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643.

The product of its digits is 2400, while the sum is 26.

The square root of 413585 is about 643.1057455815. The cubic root of 413585 is about 74.5054873366.

Adding to 413585 its reverse (585314), we get a palindrome (998899).

The spelling of 413585 in words is "four hundred thirteen thousand, five hundred eighty-five".