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36627121 is a prime number
BaseRepresentation
bin1000101110111…
…0001010110001
32112220211222001
42023232022301
533334031441
63345014001
7623216416
oct213561261
975824861
1036627121
1119747553
1210324301
13778556b
144c1610d
153337731
hex22ee2b1

36627121 has 2 divisors, whose sum is σ = 36627122. Its totient is φ = 36627120.

The previous prime is 36627113. The next prime is 36627133. The reversal of 36627121 is 12172663.

36627121 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., 24800400 + 11826721 = 4980^2 + 3439^2 .

It is a cyclic number.

It is not a de Polignac number, because 36627121 - 23 = 36627113 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 36627121.

It is not a weakly prime, because it can be changed into another prime (36627191) 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, 18313560 + 18313561.

It is an arithmetic number, because the mean of its divisors is an integer number (18313561).

Almost surely, 236627121 is an apocalyptic number.

It is an amenable number.

36627121 is a deficient number, since it is larger than the sum of its proper divisors (1).

36627121 is an equidigital number, since it uses as much as digits as its factorization.

36627121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3024, while the sum is 28.

The square root of 36627121 is about 6052.0344513230. The cubic root of 36627121 is about 332.0990202776.

Adding to 36627121 its reverse (12172663), we get a palindrome (48799784).

The spelling of 36627121 in words is "thirty-six million, six hundred twenty-seven thousand, one hundred twenty-one".