32609 has 2 divisors, whose sum is σ = 32610. Its totient is φ = 32608.

The previous prime is 32603. The next prime is 32611. The reversal of 32609 is 90623.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 29584 + 3025 = 172^2 + 55^2 .

It is a cyclic number.

It is not a de Polignac number, because 32609 - 2⁸ = 32353 is a prime.

Together with 32611, it forms a pair of twin primes.

It is a Chen prime.

It is a plaindrome in base 11 and base 15.

It is a nialpdrome in base 8.

It is a zygodrome in base 11.

It is not a weakly prime, because it can be changed into another prime (32603) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16304 + 16305.

It is an arithmetic number, because the mean of its divisors is an integer number (16305).

2³²⁶⁰⁹ is an apocalyptic number.

It is an amenable number.

32609 is a deficient number, since it is larger than the sum of its proper divisors (1).

32609 is an equidigital number, since it uses as much as digits as its factorization.

32609 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 324, while the sum is 20.

The square root of 32609 is about 180.5796223277. The cubic root of 32609 is about 31.9481582464.

The spelling of 32609 in words is "thirty-two thousand, six hundred nine".