17973 has 6 divisors (see below), whose sum is σ = 25974. Its totient is φ = 11976.

The previous prime is 17971. The next prime is 17977. The reversal of 17973 is 37971.

It can be written as a sum of positive squares in only one way, i.e., 10404 + 7569 = 102^2 + 87^2 .

It is not a de Polignac number, because 17973 - 2¹ = 17971 is a prime.

It is a plaindrome in base 11 and base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 990 + ... + 1007.

It is an arithmetic number, because the mean of its divisors is an integer number (4329).

2¹⁷⁹⁷³ is an apocalyptic number.

It is an amenable number.

17973 is a deficient number, since it is larger than the sum of its proper divisors (8001).

17973 is a wasteful number, since it uses less digits than its factorization.

17973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2003 (or 2000 counting only the distinct ones).

The product of its digits is 1323, while the sum is 27.

The square root of 17973 is about 134.0634178290. The cubic root of 17973 is about 26.1943036778.

It can be divided in two parts, 179 and 73, that added together give a palindrome (252).

The spelling of 17973 in words is "seventeen thousand, nine hundred seventy-three".