13623 has 8 divisors (see below), whose sum is σ = 19200. Its totient is φ = 8568.

The previous prime is 13619. The next prime is 13627. The reversal of 13623 is 32631.

It is an interprime number because it is at equal distance from previous prime (13619) and next prime (13627).

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

It is not a de Polignac number, because 13623 - 2² = 13619 is a prime.

It is a super-2 number, since 2×13623² = 371172258, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13627) 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, 63 + ... + 176.

It is an arithmetic number, because the mean of its divisors is an integer number (2400).

2¹³⁶²³ is an apocalyptic number.

13623 is a deficient number, since it is larger than the sum of its proper divisors (5577).

13623 is a wasteful number, since it uses less digits than its factorization.

13623 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261.

The product of its digits is 108, while the sum is 15.

The square root of 13623 is about 116.7176079261. The cubic root of 13623 is about 23.8831121982.

Adding to 13623 its product of digits (108), we get a palindrome (13731).

It can be divided in two parts, 13 and 623, that added together give a palindrome (636).

The spelling of 13623 in words is "thirteen thousand, six hundred twenty-three".