4723 has 2 divisors, whose sum is σ = 4724. Its totient is φ = 4722.

The previous prime is 4721. The next prime is 4729. The reversal of 4723 is 3274.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 4723 - 2^{1} = 4721 is a prime.

Together with 4721, it forms a pair of twin primes.

It is an alternating number because its digits alternate between even and odd.

It is equal to p_{637} and since 4723 and 637 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 4697 and 4706.

It is not a weakly prime, because it can be changed into another prime (4721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2361 + 2362.

It is an arithmetic number, because the mean of its divisors is an integer number (2362).

4723 is a deficient number, since it is larger than the sum of its proper divisors (1).

4723 is an equidigital number, since it uses as much as digits as its factorization.

4723 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 168, while the sum is 16.

The square root of 4723 is about 68.7240860252. The cubic root of 4723 is about 16.7779662014. Note that the first 3 decimals are identical.

Adding to 4723 its reverse (3274), we get a palindrome (7997).

It can be divided in two parts, 47 and 23, that multiplied together give a triangular number (1081 = T_{46}).

The spelling of 4723 in words is "four thousand, seven hundred twenty-three", and thus it is an iban number.

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