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36606821 is a prime number
BaseRepresentation
bin1000101110100…
…1001101100101
32112212211010012
42023221031211
533332404241
63344340005
7623103266
oct213511545
975784105
1036606821
1119733279
1210314605
137779254
144c0c96d
1533316eb
hex22e9365

36606821 has 2 divisors, whose sum is σ = 36606822. Its totient is φ = 36606820.

The previous prime is 36606793. The next prime is 36606827. The reversal of 36606821 is 12860663.

36606821 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 23174596 + 13432225 = 4814^2 + 3665^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-36606821 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36606827) 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, 18303410 + 18303411.

It is an arithmetic number, because the mean of its divisors is an integer number (18303411).

Almost surely, 236606821 is an apocalyptic number.

It is an amenable number.

36606821 is a deficient number, since it is larger than the sum of its proper divisors (1).

36606821 is an equidigital number, since it uses as much as digits as its factorization.

36606821 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 36606821 is about 6050.3570968993. The cubic root of 36606821 is about 332.0376554038.

The spelling of 36606821 in words is "thirty-six million, six hundred six thousand, eight hundred twenty-one".