3583 has 2 divisors, whose sum is σ = 3584. Its totient is φ = 3582.

The previous prime is 3581. The next prime is 3593. The reversal of 3583 is 3853.

It is a weak prime.

It is an emirp because it is prime and its reverse (3853) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3583 - 2¹ = 3581 is a prime.

Together with 3581, it forms a pair of twin primes.

It is a plaindrome in base 8 and base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 3583.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3581) by changing a digit.

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 as a sum of consecutive naturals, namely, 1791 + 1792.

It is an arithmetic number, because the mean of its divisors is an integer number (1792).

2³⁵⁸³ is an apocalyptic number.

3583 is a deficient number, since it is larger than the sum of its proper divisors (1).

3583 is an equidigital number, since it uses as much as digits as its factorization.

3583 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 360, while the sum is 19.

The square root of 3583 is about 59.8581656919. The cubic root of 3583 is about 15.3020260179.

Subtracting from 3583 its product of digits (360), we obtain a palindrome (3223).

It can be divided in two parts, 358 and 3, that added together give a square (361 = 19²).

The spelling of 3583 in words is "three thousand, five hundred eighty-three".