Search a number
-
+
21837089 is a prime number
BaseRepresentation
bin101001101001…
…1010100100001
31112002102212002
41103103110201
521042241324
62100013345
7353416661
oct123232441
945072762
1021837089
111136558a
127391255
1346a7671
142c861a1
151db53ae
hex14d3521

21837089 has 2 divisors, whose sum is σ = 21837090. Its totient is φ = 21837088.

The previous prime is 21837073. The next prime is 21837091. The reversal of 21837089 is 98073812.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17572864 + 4264225 = 4192^2 + 2065^2 .

It is a cyclic number.

It is not a de Polignac number, because 21837089 - 24 = 21837073 is a prime.

Together with 21837091, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (21837019) 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, 10918544 + 10918545.

It is an arithmetic number, because the mean of its divisors is an integer number (10918545).

Almost surely, 221837089 is an apocalyptic number.

It is an amenable number.

21837089 is a deficient number, since it is larger than the sum of its proper divisors (1).

21837089 is an equidigital number, since it uses as much as digits as its factorization.

21837089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24192, while the sum is 38.

The square root of 21837089 is about 4673.0171195920. The cubic root of 21837089 is about 279.5105778428.

The spelling of 21837089 in words is "twenty-one million, eight hundred thirty-seven thousand, eighty-nine".