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36091249 is a prime number
BaseRepresentation
bin1000100110101…
…1010101110001
32111220121212221
42021223111301
533214404444
63325321041
7615525205
oct211532561
974817787
1036091249
1119410987
1210106181
13762868c
144b16b05
15327da84
hex226b571

36091249 has 2 divisors, whose sum is σ = 36091250. Its totient is φ = 36091248.

The previous prime is 36091189. The next prime is 36091259. The reversal of 36091249 is 94219063.

36091249 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 25806400 + 10284849 = 5080^2 + 3207^2 .

It is a cyclic number.

It is not a de Polignac number, because 36091249 - 29 = 36090737 is a prime.

It is not a weakly prime, because it can be changed into another prime (36091259) 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, 18045624 + 18045625.

It is an arithmetic number, because the mean of its divisors is an integer number (18045625).

Almost surely, 236091249 is an apocalyptic number.

It is an amenable number.

36091249 is a deficient number, since it is larger than the sum of its proper divisors (1).

36091249 is an equidigital number, since it uses as much as digits as its factorization.

36091249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11664, while the sum is 34.

The square root of 36091249 is about 6007.5992709235. The cubic root of 36091249 is about 330.4714687336.

The spelling of 36091249 in words is "thirty-six million, ninety-one thousand, two hundred forty-nine".