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331332161 is a prime number
BaseRepresentation
bin10011101111111…
…011101001000001
3212002110102021112
4103233323221001
51134310112121
652513333105
711132163656
oct2357735101
9762412245
10331332161
11160034836
1292b67195
135384b244
143200bc2d
151e14c75b
hex13bfba41

331332161 has 2 divisors, whose sum is σ = 331332162. Its totient is φ = 331332160.

The previous prime is 331332139. The next prime is 331332173. The reversal of 331332161 is 161233133.

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., 326019136 + 5313025 = 18056^2 + 2305^2 .

It is an emirp because it is prime and its reverse (161233133) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 331332161 - 218 = 331070017 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (331332101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165666080 + 165666081.

It is an arithmetic number, because the mean of its divisors is an integer number (165666081).

Almost surely, 2331332161 is an apocalyptic number.

It is an amenable number.

331332161 is a deficient number, since it is larger than the sum of its proper divisors (1).

331332161 is an equidigital number, since it uses as much as digits as its factorization.

331332161 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 972, while the sum is 23.

The square root of 331332161 is about 18202.5317195164. The cubic root of 331332161 is about 691.9709529556.

Adding to 331332161 its product of digits (972), we get a palindrome (331333133).

Adding to 331332161 its reverse (161233133), we get a palindrome (492565294).

The spelling of 331332161 in words is "three hundred thirty-one million, three hundred thirty-two thousand, one hundred sixty-one".