4623 has 8 divisors (see below), whose sum is σ = 6528. Its totient is φ = 2904.

The previous prime is 4621. The next prime is 4637. The reversal of 4623 is 3264.

It is a Cunningham number, because it is equal to 68²-1.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 4623 - 2¹ = 4621 is a prime.

It is a d-powerful number, because it can be written as 4⁶ + 2⁹ + 6 + 3² .

It is a D-number.

4623 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4621) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36 + ... + 102.

It is an arithmetic number, because the mean of its divisors is an integer number (816).

4623 is a deficient number, since it is larger than the sum of its proper divisors (1905).

4623 is a wasteful number, since it uses less digits than its factorization.

4623 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93.

The product of its digits is 144, while the sum is 15.

The square root of 4623 is about 67.9926466612. The cubic root of 4623 is about 16.6587073106.

Adding to 4623 its reverse (3264), we get a palindrome (7887).

It can be divided in two parts, 462 and 3, that added together give a triangular number (465 = T₃₀).

The spelling of 4623 in words is "four thousand, six hundred twenty-three".