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36761057 is a prime number
BaseRepresentation
bin1000110000111…
…0110111100001
32120011122200122
42030032313201
533402323212
63351530025
7624315044
oct214166741
976148618
1036761057
1119829143
1210389915
137801508
144c4cc5b
153362272
hex230ede1

36761057 has 2 divisors, whose sum is σ = 36761058. Its totient is φ = 36761056.

The previous prime is 36760981. The next prime is 36761069. The reversal of 36761057 is 75016763.

36761057 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., 35628961 + 1132096 = 5969^2 + 1064^2 .

It is a cyclic number.

It is not a de Polignac number, because 36761057 - 216 = 36695521 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (36761657) 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, 18380528 + 18380529.

It is an arithmetic number, because the mean of its divisors is an integer number (18380529).

Almost surely, 236761057 is an apocalyptic number.

It is an amenable number.

36761057 is a deficient number, since it is larger than the sum of its proper divisors (1).

36761057 is an equidigital number, since it uses as much as digits as its factorization.

36761057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 26460, while the sum is 35.

The square root of 36761057 is about 6063.0897238949. The cubic root of 36761057 is about 332.5033282121.

The spelling of 36761057 in words is "thirty-six million, seven hundred sixty-one thousand, fifty-seven".