32009 has 2 divisors, whose sum is σ = 32010. Its totient is φ = 32008.

The previous prime is 32003. The next prime is 32027. The reversal of 32009 is 90023.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 16384 + 15625 = 128^2 + 125^2 .

It is an emirp because it is prime and its reverse (90023) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^{k}-32009 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is equal to p_{3434} and since 32009 and 3434 have the same sum of digits, it is a Honaker prime.

It is a nialpdrome in base 8.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 31984 and 32002.

It is not a weakly prime, because it can be changed into another prime (32003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16004 + 16005.

It is an arithmetic number, because the mean of its divisors is an integer number (16005).

2^{32009} is an apocalyptic number.

It is an amenable number.

32009 is a deficient number, since it is larger than the sum of its proper divisors (1).

32009 is an equidigital number, since it uses as much as digits as its factorization.

32009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 32009 is about 178.9105921962. The cubic root of 32009 is about 31.7509971373.

Adding to 32009 its sum of digits (14), we get a palindrome (32023).

The spelling of 32009 in words is "thirty-two thousand, nine".

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