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36523873 is a prime number
BaseRepresentation
bin1000101101010…
…0111101100001
32112201121100001
42023110331201
533322230443
63342500001
7622306411
oct213247541
975647301
1036523873
1119686a21
1210294601
13774a579
144bca641
153316d4d
hex22d4f61

36523873 has 2 divisors, whose sum is σ = 36523874. Its totient is φ = 36523872.

The previous prime is 36523867. The next prime is 36523919. The reversal of 36523873 is 37832563.

36523873 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., 19820304 + 16703569 = 4452^2 + 4087^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-36523873 is a prime.

It is not a weakly prime, because it can be changed into another prime (36523843) 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, 18261936 + 18261937.

It is an arithmetic number, because the mean of its divisors is an integer number (18261937).

Almost surely, 236523873 is an apocalyptic number.

It is an amenable number.

36523873 is a deficient number, since it is larger than the sum of its proper divisors (1).

36523873 is an equidigital number, since it uses as much as digits as its factorization.

36523873 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 90720, while the sum is 37.

The square root of 36523873 is about 6043.4984073796. The cubic root of 36523873 is about 331.7866758738.

The spelling of 36523873 in words is "thirty-six million, five hundred twenty-three thousand, eight hundred seventy-three".