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36803213 is a prime number
BaseRepresentation
bin1000110001100…
…1001010001101
32120020210111222
42030121022031
533410200323
63352453125
7624551666
oct214311215
976223458
1036803213
1119857887
12103aa1a5
137817765
144c6036d
15336e9c8
hex231928d

36803213 has 2 divisors, whose sum is σ = 36803214. Its totient is φ = 36803212.

The previous prime is 36803189. The next prime is 36803237. The reversal of 36803213 is 31230863.

It is a balanced prime because it is at equal distance from previous prime (36803189) and next prime (36803237).

It can be written as a sum of positive squares in only one way, i.e., 26646244 + 10156969 = 5162^2 + 3187^2 .

It is a cyclic number.

It is not a de Polignac number, because 36803213 - 218 = 36541069 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36803713) 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, 18401606 + 18401607.

It is an arithmetic number, because the mean of its divisors is an integer number (18401607).

Almost surely, 236803213 is an apocalyptic number.

It is an amenable number.

36803213 is a deficient number, since it is larger than the sum of its proper divisors (1).

36803213 is an equidigital number, since it uses as much as digits as its factorization.

36803213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 36803213 is about 6066.5651731437. The cubic root of 36803213 is about 332.6303798334.

The spelling of 36803213 in words is "thirty-six million, eight hundred three thousand, two hundred thirteen".