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87106889 is a prime number
BaseRepresentation
bin1010011000100…
…10010101001001
320001220111012002
411030102111021
5134244410024
612351000345
72105252642
oct514222511
9201814162
1087106889
1145195771
12252090b5
131507b14c
14b7d66c9
1579a96ae
hex5312549

87106889 has 2 divisors, whose sum is σ = 87106890. Its totient is φ = 87106888.

The previous prime is 87106871. The next prime is 87106891. The reversal of 87106889 is 98860178.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 86341264 + 765625 = 9292^2 + 875^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-87106889 is a prime.

It is a super-2 number, since 2×871068892 = 15175220222516642, which contains 22 as substring.

Together with 87106891, 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 (87106489) 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, 43553444 + 43553445.

It is an arithmetic number, because the mean of its divisors is an integer number (43553445).

Almost surely, 287106889 is an apocalyptic number.

It is an amenable number.

87106889 is a deficient number, since it is larger than the sum of its proper divisors (1).

87106889 is an equidigital number, since it uses as much as digits as its factorization.

87106889 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 193536, while the sum is 47.

The square root of 87106889 is about 9333.1071460688. The cubic root of 87106889 is about 443.2861554309.

The spelling of 87106889 in words is "eighty-seven million, one hundred six thousand, eight hundred eighty-nine".