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36782521 is a prime number
BaseRepresentation
bin1000110001010…
…0000110111001
32120012202010121
42030110012321
533404020041
63352213241
7624434446
oct214240671
976182117
1036782521
1119843286
121039a221
13780b209
144c569cd
1533687d1
hex23141b9

36782521 has 2 divisors, whose sum is σ = 36782522. Its totient is φ = 36782520.

The previous prime is 36782513. The next prime is 36782533. The reversal of 36782521 is 12528763.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 35760400 + 1022121 = 5980^2 + 1011^2 .

It is a cyclic number.

It is not a de Polignac number, because 36782521 - 23 = 36782513 is a prime.

It is a super-2 number, since 2×367825212 = 2705907702230882, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (36782561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18391260 + 18391261.

It is an arithmetic number, because the mean of its divisors is an integer number (18391261).

Almost surely, 236782521 is an apocalyptic number.

It is an amenable number.

36782521 is a deficient number, since it is larger than the sum of its proper divisors (1).

36782521 is an equidigital number, since it uses as much as digits as its factorization.

36782521 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 20160, while the sum is 34.

The square root of 36782521 is about 6064.8595202197. The cubic root of 36782521 is about 332.5680294970.

The spelling of 36782521 in words is "thirty-six million, seven hundred eighty-two thousand, five hundred twenty-one".