132309 has 12 divisors (see below), whose sum is σ = 195052. Its totient is φ = 86400.

The previous prime is 132299. The next prime is 132313. The reversal of 132309 is 903231.

It can be written as a sum of positive squares in 2 ways, for example, as 44100 + 88209 = 210^2 + 297^2 .

It is not a de Polignac number, because 132309 - 2⁹ = 131797 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 132291 and 132300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132329) 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 11 ways as a sum of consecutive naturals, for example, 429 + ... + 669.

2¹³²³⁰⁹ is an apocalyptic number.

It is an amenable number.

132309 is a deficient number, since it is larger than the sum of its proper divisors (62743).

132309 is a wasteful number, since it uses less digits than its factorization.

132309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 132309 is about 363.7430411705. The cubic root of 132309 is about 50.9561329827.

It can be divided in two parts, 132 and 309, that added together give a square (441 = 21²).

The spelling of 132309 in words is "one hundred thirty-two thousand, three hundred nine".