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36006797 is a prime number
BaseRepresentation
bin1000100101011…
…0101110001101
32111202100001002
42021112232031
533204204142
63323430045
7615024041
oct211265615
974670032
1036006797
1119363492
1210085325
1375c90c8
144ad4021
153263a32
hex2256b8d

36006797 has 2 divisors, whose sum is σ = 36006798. Its totient is φ = 36006796.

The previous prime is 36006787. The next prime is 36006821. The reversal of 36006797 is 79760063.

36006797 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., 30758116 + 5248681 = 5546^2 + 2291^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-36006797 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 36006797.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36006757) 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, 18003398 + 18003399.

It is an arithmetic number, because the mean of its divisors is an integer number (18003399).

Almost surely, 236006797 is an apocalyptic number.

It is an amenable number.

36006797 is a deficient number, since it is larger than the sum of its proper divisors (1).

36006797 is an equidigital number, since it uses as much as digits as its factorization.

36006797 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 47628, while the sum is 38.

The square root of 36006797 is about 6000.5663899335. The cubic root of 36006797 is about 330.2135043220.

The spelling of 36006797 in words is "thirty-six million, six thousand, seven hundred ninety-seven".