18953 has 4 divisors (see below), whose sum is σ = 20688. Its totient is φ = 17220.

The previous prime is 18947. The next prime is 18959. The reversal of 18953 is 35981.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 35981 = 11 ⋅3271.

It is an interprime number because it is at equal distance from previous prime (18947) and next prime (18959).

It is a cyclic number.

It is not a de Polignac number, because 18953 - 2¹⁰ = 17929 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a plaindrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (18959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 851 + ... + 872.

It is an arithmetic number, because the mean of its divisors is an integer number (5172).

2¹⁸⁹⁵³ is an apocalyptic number.

It is an amenable number.

18953 is a deficient number, since it is larger than the sum of its proper divisors (1735).

18953 is a wasteful number, since it uses less digits than its factorization.

18953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1734.

The product of its digits is 1080, while the sum is 26.

The square root of 18953 is about 137.6698950388. The cubic root of 18953 is about 26.6619957097.

It can be divided in two parts, 189 and 53, that added together give a palindrome (242).

The spelling of 18953 in words is "eighteen thousand, nine hundred fifty-three".