7713 has 6 divisors (see below), whose sum is σ = 11154. Its totient is φ = 5136.

The previous prime is 7703. The next prime is 7717. The reversal of 7713 is 3177.

7713 = 2² + 3² + ... + 28².

It can be written as a sum of positive squares in only one way, i.e., 7569 + 144 = 87^2 + 12^2 .

It is not a de Polignac number, because 7713 - 2⁵ = 7681 is a prime.

It is a Curzon number.

It is a plaindrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (7717) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 420 + ... + 437.

It is an arithmetic number, because the mean of its divisors is an integer number (1859).

2⁷⁷¹³ is an apocalyptic number.

It is an amenable number.

7713 is a deficient number, since it is larger than the sum of its proper divisors (3441).

7713 is a wasteful number, since it uses less digits than its factorization.

7713 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 863 (or 860 counting only the distinct ones).

The product of its digits is 147, while the sum is 18.

The square root of 7713 is about 87.8236870098. The cubic root of 7713 is about 19.7579148963.

It can be divided in two parts, 77 and 13, that multiplied together give a palindrome (1001).

The spelling of 7713 in words is "seven thousand, seven hundred thirteen".