413583 has 8 divisors (see below), whose sum is σ = 558000. Its totient is φ = 272448.

The previous prime is 413579. The next prime is 413587. The reversal of 413583 is 385314.

It is an interprime number because it is at equal distance from previous prime (413579) and next prime (413587).

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

It is not a de Polignac number, because 413583 - 2² = 413579 is a prime.

It is a congruent 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, 508 + ... + 1041.

It is an arithmetic number, because the mean of its divisors is an integer number (69750).

2⁴¹³⁵⁸³ is an apocalyptic number.

413583 is a deficient number, since it is larger than the sum of its proper divisors (144417).

413583 is a wasteful number, since it uses less digits than its factorization.

413583 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1641.

The product of its digits is 1440, while the sum is 24.

The square root of 413583 is about 643.1041906254. The cubic root of 413583 is about 74.5053672394.

Adding to 413583 its reverse (385314), we get a palindrome (798897).

The spelling of 413583 in words is "four hundred thirteen thousand, five hundred eighty-three".