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21801617 is a prime number
BaseRepresentation
bin101001100101…
…0101010010001
31112000122012022
41103022222101
521040122432
62055141225
7353211365
oct123125221
945018168
1021801617
1111340972
127374815
134694486
142c772a5
151da9b12
hex14caa91

21801617 has 2 divisors, whose sum is σ = 21801618. Its totient is φ = 21801616.

The previous prime is 21801601. The next prime is 21801641. The reversal of 21801617 is 71610812.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13512976 + 8288641 = 3676^2 + 2879^2 .

It is a cyclic number.

It is not a de Polignac number, because 21801617 - 24 = 21801601 is a prime.

It is not a weakly prime, because it can be changed into another prime (21801317) 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, 10900808 + 10900809.

It is an arithmetic number, because the mean of its divisors is an integer number (10900809).

Almost surely, 221801617 is an apocalyptic number.

It is an amenable number.

21801617 is a deficient number, since it is larger than the sum of its proper divisors (1).

21801617 is an equidigital number, since it uses as much as digits as its factorization.

21801617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 672, while the sum is 26.

The square root of 21801617 is about 4669.2201704353. The cubic root of 21801617 is about 279.3591508742.

The spelling of 21801617 in words is "twenty-one million, eight hundred one thousand, six hundred seventeen".