4713 has 4 divisors (see below), whose sum is σ = 6288. Its totient is φ = 3140.

The previous prime is 4703. The next prime is 4721. The reversal of 4713 is 3174.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 4713 - 2⁶ = 4649 is a prime.

It is a D-number.

4713 is a lucky number.

It is a plaindrome in base 12 and base 16.

It is a junction number, because it is equal to n+sod(n) for n = 4692 and 4701.

It is not an unprimeable number, because it can be changed into a prime (4703) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 783 + ... + 788.

It is an arithmetic number, because the mean of its divisors is an integer number (1572).

2⁴⁷¹³ is an apocalyptic number.

It is an amenable number.

4713 is a deficient number, since it is larger than the sum of its proper divisors (1575).

4713 is a wasteful number, since it uses less digits than its factorization.

4713 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1574.

The product of its digits is 84, while the sum is 15.

The square root of 4713 is about 68.6512927773. The cubic root of 4713 is about 16.7661165145.

Adding to 4713 its reverse (3174), we get a palindrome (7887).

It can be divided in two parts, 471 and 3, that added together give a palindrome (474).

The spelling of 4713 in words is "four thousand, seven hundred thirteen".