32173 has 2 divisors, whose sum is σ = 32174. Its totient is φ = 32172.

The previous prime is 32159. The next prime is 32183. The reversal of 32173 is 37123.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 26244 + 5929 = 162^2 + 77^2 .

It is an emirp because it is prime and its reverse (37123) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 32173 - 2⁵ = 32141 is a prime.

32173 is a lucky number.

It is a nialpdrome in base 8 and base 14.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (32143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16086 + 16087.

It is an arithmetic number, because the mean of its divisors is an integer number (16087).

2³²¹⁷³ is an apocalyptic number.

It is an amenable number.

32173 is a deficient number, since it is larger than the sum of its proper divisors (1).

32173 is an equidigital number, since it uses as much as digits as its factorization.

32173 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 126, while the sum is 16.

The square root of 32173 is about 179.3683361132. The cubic root of 32173 is about 31.8051308257.

Adding to 32173 its reverse (37123), we get a palindrome (69296).

Subtracting 32173 from its reverse (37123), we obtain a triangular number (4950 = T₉₉).

The spelling of 32173 in words is "thirty-two thousand, one hundred seventy-three".