Search a number
-
+
8224121 is a prime number
BaseRepresentation
bin11111010111110101111001
3120110211101002
4133113311321
54101132441
6452134345
7126622013
oct37276571
916424332
108224121
1147079a4
1229073b5
13191c459
1411411b3
15ac6b9b
hex7d7d79

8224121 has 2 divisors, whose sum is σ = 8224122. Its totient is φ = 8224120.

The previous prime is 8224091. The next prime is 8224123. The reversal of 8224121 is 1214228.

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., 8179600 + 44521 = 2860^2 + 211^2 .

It is a cyclic number.

It is not a de Polignac number, because 8224121 - 26 = 8224057 is a prime.

It is a super-3 number, since 3×82241213 (a number of 22 digits) contains 333 as substring.

Together with 8224123, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 8224093 and 8224102.

It is not a weakly prime, because it can be changed into another prime (8224123) 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, 4112060 + 4112061.

It is an arithmetic number, because the mean of its divisors is an integer number (4112061).

Almost surely, 28224121 is an apocalyptic number.

It is an amenable number.

8224121 is a deficient number, since it is larger than the sum of its proper divisors (1).

8224121 is an equidigital number, since it uses as much as digits as its factorization.

8224121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 256, while the sum is 20.

The square root of 8224121 is about 2867.7728292178. The cubic root of 8224121 is about 201.8505004343.

Adding to 8224121 its reverse (1214228), we get a palindrome (9438349).

The spelling of 8224121 in words is "eight million, two hundred twenty-four thousand, one hundred twenty-one".