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36366761 is a prime number
BaseRepresentation
bin1000101010111…
…0100110101001
32112102121211002
42022232212221
533302214021
63335244345
7621053354
oct212564651
975377732
1036366761
1119589982
12102196b5
1376c3bc2
144b8929b
1532d550b
hex22ae9a9

36366761 has 2 divisors, whose sum is σ = 36366762. Its totient is φ = 36366760.

The previous prime is 36366731. The next prime is 36366763. The reversal of 36366761 is 16766363.

36366761 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., 23088025 + 13278736 = 4805^2 + 3644^2 .

It is an emirp because it is prime and its reverse (16766363) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 36366761 - 222 = 32172457 is a prime.

It is a super-2 number, since 2×363667612 = 2645082611262242, which contains 22 as substring.

Together with 36366763, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (36366763) 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, 18183380 + 18183381.

It is an arithmetic number, because the mean of its divisors is an integer number (18183381).

Almost surely, 236366761 is an apocalyptic number.

It is an amenable number.

36366761 is a deficient number, since it is larger than the sum of its proper divisors (1).

36366761 is an equidigital number, since it uses as much as digits as its factorization.

36366761 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 81648, while the sum is 38.

The square root of 36366761 is about 6030.4859671506. The cubic root of 36366761 is about 331.3102514823.

The spelling of 36366761 in words is "thirty-six million, three hundred sixty-six thousand, seven hundred sixty-one".