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21837041 is a prime number
BaseRepresentation
bin101001101001…
…1010011110001
31112002102210022
41103103103301
521042241131
62100013225
7353416562
oct123232361
945072708
1021837041
1111365546
127391215
1346a7635
142c86169
151db537b
hex14d34f1

21837041 has 2 divisors, whose sum is σ = 21837042. Its totient is φ = 21837040.

The previous prime is 21837037. The next prime is 21837043. The reversal of 21837041 is 14073812.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19324816 + 2512225 = 4396^2 + 1585^2 .

It is a cyclic number.

It is not a de Polignac number, because 21837041 - 22 = 21837037 is a prime.

It is a super-3 number, since 3×218370413 (a number of 23 digits) contains 333 as substring.

Together with 21837043, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 21837041.

It is not a weakly prime, because it can be changed into another prime (21837043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10918520 + 10918521.

It is an arithmetic number, because the mean of its divisors is an integer number (10918521).

Almost surely, 221837041 is an apocalyptic number.

It is an amenable number.

21837041 is a deficient number, since it is larger than the sum of its proper divisors (1).

21837041 is an equidigital number, since it uses as much as digits as its factorization.

21837041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 21837041 is about 4673.0119837210. The cubic root of 21837041 is about 279.5103730457.

The spelling of 21837041 in words is "twenty-one million, eight hundred thirty-seven thousand, forty-one".