Search a number
-
+
9993289 is a prime number
BaseRepresentation
bin100110000111…
…110001001001
3200210201012211
4212013301021
510024241124
6554105121
7150640645
oct46076111
920721184
109993289
115706119
12341b1a1
1320bb7b7
141481c25
15d25e94
hex987c49

9993289 has 2 divisors, whose sum is σ = 9993290. Its totient is φ = 9993288.

The previous prime is 9993271. The next prime is 9993317. The reversal of 9993289 is 9823999.

9993289 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9241600 + 751689 = 3040^2 + 867^2 .

It is a cyclic number.

It is not a de Polignac number, because 9993289 - 25 = 9993257 is a prime.

It is not a weakly prime, because it can be changed into another prime (9993209) 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, 4996644 + 4996645.

It is an arithmetic number, because the mean of its divisors is an integer number (4996645).

Almost surely, 29993289 is an apocalyptic number.

It is an amenable number.

9993289 is a deficient number, since it is larger than the sum of its proper divisors (1).

9993289 is an equidigital number, since it uses as much as digits as its factorization.

9993289 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 314928, while the sum is 49.

The square root of 9993289 is about 3161.2163798133. The cubic root of 9993289 is about 215.3952635140.

The spelling of 9993289 in words is "nine million, nine hundred ninety-three thousand, two hundred eighty-nine".