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36798961 is a prime number
BaseRepresentation
bin1000110001100…
…0000111110001
32120020120200111
42030120013301
533410031321
63352421321
7624533413
oct214300761
976216614
1036798961
1119854671
12103a7841
137815844
144c5c9b3
15336d5e1
hex23181f1

36798961 has 2 divisors, whose sum is σ = 36798962. Its totient is φ = 36798960.

The previous prime is 36798947. The next prime is 36798973. The reversal of 36798961 is 16989763.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 35283600 + 1515361 = 5940^2 + 1231^2 .

It is a cyclic number.

It is not a de Polignac number, because 36798961 - 27 = 36798833 is a prime.

It is a super-3 number, since 3×367989613 (a number of 24 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (36798901) 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, 18399480 + 18399481.

It is an arithmetic number, because the mean of its divisors is an integer number (18399481).

Almost surely, 236798961 is an apocalyptic number.

It is an amenable number.

36798961 is a deficient number, since it is larger than the sum of its proper divisors (1).

36798961 is an equidigital number, since it uses as much as digits as its factorization.

36798961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 489888, while the sum is 49.

The square root of 36798961 is about 6066.2147175978. The cubic root of 36798961 is about 332.6175693682.

The spelling of 36798961 in words is "thirty-six million, seven hundred ninety-eight thousand, nine hundred sixty-one".