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36747233 is a prime number
BaseRepresentation
bin1000110000101…
…1011111100001
32120010221201122
42030023133201
533401402413
63351342025
7624226535
oct214133741
976127648
1036747233
1119819816
1210381915
1377c8133
144c47bc5
15335d108
hex230b7e1

36747233 has 2 divisors, whose sum is σ = 36747234. Its totient is φ = 36747232.

The previous prime is 36747223. The next prime is 36747247. The reversal of 36747233 is 33274763.

36747233 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., 27699169 + 9048064 = 5263^2 + 3008^2 .

It is a cyclic number.

It is not a de Polignac number, because 36747233 - 28 = 36746977 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 36747193 and 36747202.

It is not a weakly prime, because it can be changed into another prime (36747223) 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, 18373616 + 18373617.

It is an arithmetic number, because the mean of its divisors is an integer number (18373617).

Almost surely, 236747233 is an apocalyptic number.

It is an amenable number.

36747233 is a deficient number, since it is larger than the sum of its proper divisors (1).

36747233 is an equidigital number, since it uses as much as digits as its factorization.

36747233 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 63504, while the sum is 35.

The square root of 36747233 is about 6061.9496038816. The cubic root of 36747233 is about 332.4616436807.

The spelling of 36747233 in words is "thirty-six million, seven hundred forty-seven thousand, two hundred thirty-three".