5913 has 10 divisors (see below), whose sum is σ = 8954. Its totient is φ = 3888.

The previous prime is 5903. The next prime is 5923. The reversal of 5913 is 3195.

5913 is nontrivially palindromic in base 8.

It is an interprime number because it is at equal distance from previous prime (5903) and next prime (5923).

It can be written as a sum of positive squares in only one way, i.e., 5184 + 729 = 72^2 + 27^2 .

It is not a de Polignac number, because 5913 - 2⁴ = 5897 is a prime.

It is a Duffinian number.

It is a Curzon number.

5913 is a lucky number.

It is a plaindrome in base 14.

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (5903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 45 + ... + 117.

2⁵⁹¹³ is an apocalyptic number.

It is an amenable number.

5913 is a deficient number, since it is larger than the sum of its proper divisors (3041).

5913 is an equidigital number, since it uses as much as digits as its factorization.

5913 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 76 counting only the distinct ones).

The product of its digits is 135, while the sum is 18.

The square root of 5913 is about 76.8960337079. The cubic root of 5913 is about 18.0829504804.

Subtracting from 5913 its product of digits (135), we obtain a triangular number (5778 = T₁₀₇).

It can be divided in two parts, 59 and 13, that multiplied together give a palindrome (767).

The spelling of 5913 in words is "five thousand, nine hundred thirteen".