16953 has 4 divisors (see below), whose sum is σ = 22608. Its totient is φ = 11300.

The previous prime is 16943. The next prime is 16963. The reversal of 16953 is 35961.

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: 35961 = 3 ⋅11987.

It is an interprime number because it is at equal distance from previous prime (16943) and next prime (16963).

It is a cyclic number.

It is not a de Polignac number, because 16953 - 2⁴ = 16937 is a prime.

It is a D-number.

16953 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (16903) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2823 + ... + 2828.

It is an arithmetic number, because the mean of its divisors is an integer number (5652).

2¹⁶⁹⁵³ is an apocalyptic number.

It is an amenable number.

16953 is a deficient number, since it is larger than the sum of its proper divisors (5655).

16953 is an equidigital number, since it uses as much as digits as its factorization.

16953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5654.

The product of its digits is 810, while the sum is 24.

The square root of 16953 is about 130.2036865838. The cubic root of 16953 is about 25.6890979109.

It can be divided in two parts, 169 and 53, that added together give a palindrome (222).

The spelling of 16953 in words is "sixteen thousand, nine hundred fifty-three".