583 has 4 divisors (see below), whose sum is σ = 648. Its totient is φ = 520.

The previous prime is 577. The next prime is 587. The reversal of 583 is 385.

583 is nontrivially palindromic in base 9.

583 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

583 is an esthetic number in base 3, because in such base its adjacent digits differ by 1.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 583 - 2⁹ = 71 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

583 is an undulating number in base 9.

583 is a lucky number.

It is a plaindrome in base 13, base 15 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (587) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16 + ... + 37.

It is an arithmetic number, because the mean of its divisors is an integer number (162).

2⁵⁸³ is an apocalyptic number.

583 is a gapful number since it is divisible by the number (53) formed by its first and last digit.

583 is a deficient number, since it is larger than the sum of its proper divisors (65).

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

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

The sum of its prime factors is 64.

The product of its digits is 120, while the sum is 16.

The square root of 583 is about 24.1453929353. The cubic root of 583 is about 8.3539047319.

Adding to 583 its product of digits (120), we get a triangular number (703 = T₃₇).

It can be divided in two parts, 5 and 83, that added together give a palindrome (88).

The spelling of 583 in words is "five hundred eighty-three", and thus it is an aban number and an oban number.