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36801221 is a prime number
BaseRepresentation
bin1000110001100…
…0101011000101
32120020200210012
42030120223011
533410114341
63352440005
7624543122
oct214305305
976220705
1036801221
1119856336
12103a9005
137816892
144c5d749
15336e0eb
hex2318ac5

36801221 has 2 divisors, whose sum is σ = 36801222. Its totient is φ = 36801220.

The previous prime is 36801211. The next prime is 36801251. The reversal of 36801221 is 12210863.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 24453025 + 12348196 = 4945^2 + 3514^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-36801221 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36801211) 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, 18400610 + 18400611.

It is an arithmetic number, because the mean of its divisors is an integer number (18400611).

Almost surely, 236801221 is an apocalyptic number.

It is an amenable number.

36801221 is a deficient number, since it is larger than the sum of its proper divisors (1).

36801221 is an equidigital number, since it uses as much as digits as its factorization.

36801221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 36801221 is about 6066.4009923512. The cubic root of 36801221 is about 332.6243784401.

The spelling of 36801221 in words is "thirty-six million, eight hundred one thousand, two hundred twenty-one".