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36837821 is a prime number
BaseRepresentation
bin1000110010000…
…1100110111101
32120022112222202
42030201212331
533412302241
63353321245
7625054616
oct214414675
976275882
1036837821
1119880889
1210406225
13782a437
144c6cc0d
153379d9b
hex23219bd

36837821 has 2 divisors, whose sum is σ = 36837822. Its totient is φ = 36837820.

The previous prime is 36837811. The next prime is 36837833. The reversal of 36837821 is 12873863.

It is a happy number.

36837821 is digitally balanced in base 2, 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., 31024900 + 5812921 = 5570^2 + 2411^2 .

It is a cyclic number.

It is not a de Polignac number, because 36837821 - 210 = 36836797 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36837811) 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, 18418910 + 18418911.

It is an arithmetic number, because the mean of its divisors is an integer number (18418911).

Almost surely, 236837821 is an apocalyptic number.

It is an amenable number.

36837821 is a deficient number, since it is larger than the sum of its proper divisors (1).

36837821 is an equidigital number, since it uses as much as digits as its factorization.

36837821 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 48384, while the sum is 38.

The square root of 36837821 is about 6069.4168583151. The cubic root of 36837821 is about 332.7346104589.

The spelling of 36837821 in words is "thirty-six million, eight hundred thirty-seven thousand, eight hundred twenty-one".