19953 has 8 divisors (see below), whose sum is σ = 29600. Its totient is φ = 13284.

The previous prime is 19949. The next prime is 19961. The reversal of 19953 is 35991.

It is not a de Polignac number, because 19953 - 2² = 19949 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 739 = 19953 / (1 + 9 + 9 + 5 + 3).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (19913) 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, 343 + ... + 396.

It is an arithmetic number, because the mean of its divisors is an integer number (3700).

2¹⁹⁹⁵³ is an apocalyptic number.

It is an amenable number.

19953 is a deficient number, since it is larger than the sum of its proper divisors (9647).

19953 is an equidigital number, since it uses as much as digits as its factorization.

19953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 742 counting only the distinct ones).

The product of its digits is 1215, while the sum is 27.

The square root of 19953 is about 141.2550884039. The cubic root of 19953 is about 27.1228965502.

It can be divided in two parts, 199 and 53, that added together give a palindrome (252).

The spelling of 19953 in words is "nineteen thousand, nine hundred fifty-three".