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36946361 is a prime number
BaseRepresentation
bin1000110011110…
…0000110111001
32120112001212202
42030330012321
533424240421
63355515545
7626016224
oct214740671
976461782
1036946361
1119945391
1210458bb5
13786796a
144c9a5bb
15339c10b
hex233c1b9

36946361 has 2 divisors, whose sum is σ = 36946362. Its totient is φ = 36946360.

The previous prime is 36946337. The next prime is 36946369. The reversal of 36946361 is 16364963.

36946361 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., 19971961 + 16974400 = 4469^2 + 4120^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-36946361 is a prime.

It is a super-2 number, since 2×369463612 = 2730067182284642, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (36946369) 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, 18473180 + 18473181.

It is an arithmetic number, because the mean of its divisors is an integer number (18473181).

Almost surely, 236946361 is an apocalyptic number.

It is an amenable number.

36946361 is a deficient number, since it is larger than the sum of its proper divisors (1).

36946361 is an equidigital number, since it uses as much as digits as its factorization.

36946361 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 69984, while the sum is 38.

The square root of 36946361 is about 6078.3518325283. The cubic root of 36946361 is about 333.0610829219.

The spelling of 36946361 in words is "thirty-six million, nine hundred forty-six thousand, three hundred sixty-one".