2613 has 8 divisors (see below), whose sum is σ = 3808. Its totient is φ = 1584.

The previous prime is 2609. The next prime is 2617. The reversal of 2613 is 3162.

2613 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2609) and next prime (2617).

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

It is not a de Polignac number, because 2613 - 2² = 2609 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a Curzon number.

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2617) 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, 6 + ... + 72.

It is an arithmetic number, because the mean of its divisors is an integer number (476).

It is an amenable number.

2613 is a deficient number, since it is larger than the sum of its proper divisors (1195).

2613 is a wasteful number, since it uses less digits than its factorization.

2613 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83.

The product of its digits is 36, while the sum is 12.

The square root of 2613 is about 51.1175116765. The cubic root of 2613 is about 13.7735683946.

Subtracting from 2613 its sum of digits (12), we obtain a square (2601 = 51²).

Adding to 2613 its reverse (3162), we get a palindrome (5775).

The spelling of 2613 in words is "two thousand, six hundred thirteen".