4913 has 4 divisors (see below), whose sum is σ = 5220. Its totient is φ = 4624.

The previous prime is 4909. The next prime is 4919. The reversal of 4913 is 3194.

Multipling 4913 by its sum of digits (17), we get a 4-th power (83521 = 17^{4}).

4913 divided by its sum of digits (17) gives a square (289 = 17^{2}).

It can be divided in two parts, 491 and 3, that added together give a palindrome (494).

The cubic root of 4913 is 17.

It is a perfect power (a cube), and thus also a powerful number.

4913 is nontrivially palindromic in base 4 and base 16.

It can be written as a sum of positive squares in 2 ways, for example, as 2704 + 2209 = 52^2 + 47^2 .

It is not a de Polignac number, because 4913 - 2^{2} = 4909 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 4891 and 4900.

It is not an unprimeable number, because it can be changed into a prime (4919) 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, 281 + ... + 297.

It is an arithmetic number, because the mean of its divisors is an integer number (1305).

It is an amenable number.

4913 is a deficient number, since it is larger than the sum of its proper divisors (307).

4913 is an frugal number, since it uses more digits than its factorization.

4913 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 17 counting only the distinct ones).

The product of its digits is 108, while the sum is 17.

The square root of 4913 is about 70.0927956355.

The spelling of 4913 in words is "four thousand, nine hundred thirteen".

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