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36358097 is a prime number
BaseRepresentation
bin1000101010110…
…0011111010001
32112102011221012
42022230133101
533301424342
63335140305
7621016166
oct212543721
975364835
1036358097
1119583416
1210214695
1376bcc89
144b8606d
1532d2b82
hex22ac7d1

36358097 has 2 divisors, whose sum is σ = 36358098. Its totient is φ = 36358096.

The previous prime is 36358079. The next prime is 36358111. The reversal of 36358097 is 79085363.

36358097 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with previous prime (36358079) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20286016 + 16072081 = 4504^2 + 4009^2 .

It is a cyclic number.

It is not a de Polignac number, because 36358097 - 210 = 36357073 is a prime.

It is a super-2 number, since 2×363580972 = 2643822434922818, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (36358027) 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, 18179048 + 18179049.

It is an arithmetic number, because the mean of its divisors is an integer number (18179049).

Almost surely, 236358097 is an apocalyptic number.

It is an amenable number.

36358097 is a deficient number, since it is larger than the sum of its proper divisors (1).

36358097 is an equidigital number, since it uses as much as digits as its factorization.

36358097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 136080, while the sum is 41.

The square root of 36358097 is about 6029.7675742934. The cubic root of 36358097 is about 331.2839389932.

The spelling of 36358097 in words is "thirty-six million, three hundred fifty-eight thousand, ninety-seven".