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36782561 is a prime number
BaseRepresentation
bin1000110001010…
…0000111100001
32120012202012002
42030110013201
533404020221
63352213345
7624434534
oct214240741
976182162
1036782561
1119843312
121039a255
13780b23a
144c56a1b
15336880b
hex23141e1

36782561 has 2 divisors, whose sum is σ = 36782562. Its totient is φ = 36782560.

The previous prime is 36782549. The next prime is 36782593. The reversal of 36782561 is 16528763.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 36372961 + 409600 = 6031^2 + 640^2 .

It is an emirp because it is prime and its reverse (16528763) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-36782561 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (36782521) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18391280 + 18391281.

It is an arithmetic number, because the mean of its divisors is an integer number (18391281).

Almost surely, 236782561 is an apocalyptic number.

It is an amenable number.

36782561 is a deficient number, since it is larger than the sum of its proper divisors (1).

36782561 is an equidigital number, since it uses as much as digits as its factorization.

36782561 is an evil number, because the sum of its binary digits is even.

The product of its digits is 60480, while the sum is 38.

The square root of 36782561 is about 6064.8628179045. The cubic root of 36782561 is about 332.5681500499.

It can be divided in two parts, 367 and 82561, that added together give a palindrome (82928).

The spelling of 36782561 in words is "thirty-six million, seven hundred eighty-two thousand, five hundred sixty-one".