7913 has 4 divisors (see below), whose sum is σ = 8148. Its totient is φ = 7680.

The previous prime is 7907. The next prime is 7919. The reversal of 7913 is 3197.

7913 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 3197 = 23 ⋅139.

It is an interprime number because it is at equal distance from previous prime (7907) and next prime (7919).

It can be written as a sum of positive squares in 2 ways, for example, as 1024 + 6889 = 32^2 + 83^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-7913 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7919) by changing a digit.

It is an upside-down number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 56 + ... + 137.

It is an arithmetic number, because the mean of its divisors is an integer number (2037).

2⁷⁹¹³ is an apocalyptic number.

It is an amenable number.

7913 is a deficient number, since it is larger than the sum of its proper divisors (235).

7913 is a wasteful number, since it uses less digits than its factorization.

7913 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234.

The product of its digits is 189, while the sum is 20.

The square root of 7913 is about 88.9550448260. The cubic root of 7913 is about 19.9272355881.

The spelling of 7913 in words is "seven thousand, nine hundred thirteen".