132205 has 8 divisors (see below), whose sum is σ = 160632. Its totient is φ = 104448.

The previous prime is 132199. The next prime is 132229. The reversal of 132205 is 502231.

It can be written as a sum of positive squares in 4 ways, for example, as 6889 + 125316 = 83^2 + 354^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 132205 - 2⁵ = 132173 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 589 + ... + 781.

It is an arithmetic number, because the mean of its divisors is an integer number (20079).

2¹³²²⁰⁵ is an apocalyptic number.

It is an amenable number.

132205 is a deficient number, since it is larger than the sum of its proper divisors (28427).

132205 is a wasteful number, since it uses less digits than its factorization.

132205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335.

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 132205 is about 363.6000550055. The cubic root of 132205 is about 50.9427783181.

Adding to 132205 its reverse (502231), we get a palindrome (634436).

It can be divided in two parts, 13220 and 5, that added together give a square (13225 = 115²).

The spelling of 132205 in words is "one hundred thirty-two thousand, two hundred five".