4523 has 2 divisors, whose sum is σ = 4524. Its totient is φ = 4522.

The previous prime is 4519. The next prime is 4547. The reversal of 4523 is 3254.

It is a weak prime.

4523 is a truncatable prime.

It is a cyclic number.

It is not a de Polignac number, because 4523 - 2^{2} = 4519 is a prime.

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

It is a plaindrome in base 16.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 4498 and 4507.

It is not a weakly prime, because it can be changed into another prime (4513) 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, 2261 + 2262.

It is an arithmetic number, because the mean of its divisors is an integer number (2262).

2^{4523} is an apocalyptic number.

4523 is a deficient number, since it is larger than the sum of its proper divisors (1).

4523 is an equidigital number, since it uses as much as digits as its factorization.

4523 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 120, while the sum is 14.

The square root of 4523 is about 67.2532527094. The cubic root of 4523 is about 16.5377159875.

Adding to 4523 its reverse (3254), we get a palindrome (7777).

It can be divided in two parts, 45 and 23, that multiplied together give a triangular number (1035 = T_{45}).

The spelling of 4523 in words is "four thousand, five hundred twenty-three".

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