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36689537 is a prime number
BaseRepresentation
bin1000101111110…
…1011010000001
32120001000120202
42023331122001
533343031122
63350214545
7623566403
oct213753201
976030522
1036689537
111978a435
1210354455
1377a7ab1
144c30b73
15334ae92
hex22fd681

36689537 has 2 divisors, whose sum is σ = 36689538. Its totient is φ = 36689536.

The previous prime is 36689491. The next prime is 36689539. The reversal of 36689537 is 73598663.

36689537 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., 22619536 + 14070001 = 4756^2 + 3751^2 .

It is a cyclic number.

It is not a de Polignac number, because 36689537 - 210 = 36688513 is a prime.

It is a super-2 number, since 2×366895372 = 2692244250548738, which contains 22 as substring.

Together with 36689539, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 36689491 and 36689500.

It is not a weakly prime, because it can be changed into another prime (36689539) 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, 18344768 + 18344769.

It is an arithmetic number, because the mean of its divisors is an integer number (18344769).

Almost surely, 236689537 is an apocalyptic number.

It is an amenable number.

36689537 is a deficient number, since it is larger than the sum of its proper divisors (1).

36689537 is an equidigital number, since it uses as much as digits as its factorization.

36689537 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 816480, while the sum is 47.

The square root of 36689537 is about 6057.1888694344. The cubic root of 36689537 is about 332.2875557008.

The spelling of 36689537 in words is "thirty-six million, six hundred eighty-nine thousand, five hundred thirty-seven".