32008961 has 2 divisors, whose sum is σ = 32008962. Its totient is φ = 32008960.

The previous prime is 32008913. The next prime is 32008969. The reversal of 32008961 is 16980023.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19891600 + 12117361 = 4460^2 + 3481^2 .

It is a cyclic number.

It is not a de Polignac number, because 32008961 - 2¹⁴ = 31992577 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (32008969) 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, 16004480 + 16004481.

It is an arithmetic number, because the mean of its divisors is an integer number (16004481).

Almost surely, 2^32008961 is an apocalyptic number.

It is an amenable number.

32008961 is a deficient number, since it is larger than the sum of its proper divisors (1).

32008961 is an equidigital number, since it uses as much as digits as its factorization.

32008961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 32008961 is about 5657.6462420339. The cubic root of 32008961 is about 317.5098424212.

Adding to 32008961 its reverse (16980023), we get a palindrome (48988984).

The spelling of 32008961 in words is "thirty-two million, eight thousand, nine hundred sixty-one".