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36006973 is a prime number
BaseRepresentation
bin1000100101011…
…0110000111101
32111202100021121
42021112300331
533204210343
63323430541
7615024412
oct211266075
974670247
1036006973
1119363632
1210085451
1375c9202
144ad4109
153263aed
hex2256c3d

36006973 has 2 divisors, whose sum is σ = 36006974. Its totient is φ = 36006972.

The previous prime is 36006961. The next prime is 36007001. The reversal of 36006973 is 37960063.

36006973 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., 25130169 + 10876804 = 5013^2 + 3298^2 .

It is a cyclic number.

It is not a de Polignac number, because 36006973 - 25 = 36006941 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36006923) 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, 18003486 + 18003487.

It is an arithmetic number, because the mean of its divisors is an integer number (18003487).

Almost surely, 236006973 is an apocalyptic number.

It is an amenable number.

36006973 is a deficient number, since it is larger than the sum of its proper divisors (1).

36006973 is an equidigital number, since it uses as much as digits as its factorization.

36006973 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20412, while the sum is 34.

The square root of 36006973 is about 6000.5810551979. The cubic root of 36006973 is about 330.2140423453.

The spelling of 36006973 in words is "thirty-six million, six thousand, nine hundred seventy-three".