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86782141 is a prime number
BaseRepresentation
bin1010010110000…
…11000010111101
320001021222201101
411023003002331
5134204012031
612340013101
72102431105
oct513030275
9201258641
1086782141
1144a93786
1225091191
1314c963a4
14b750205
157943361
hex52c30bd

86782141 has 2 divisors, whose sum is σ = 86782142. Its totient is φ = 86782140.

The previous prime is 86782103. The next prime is 86782159. The reversal of 86782141 is 14128768.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 84254041 + 2528100 = 9179^2 + 1590^2 .

It is a cyclic number.

It is not a de Polignac number, because 86782141 - 215 = 86749373 is a prime.

It is a super-2 number, since 2×867821412 = 15062279993087762, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 86782141.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (86782541) 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, 43391070 + 43391071.

It is an arithmetic number, because the mean of its divisors is an integer number (43391071).

Almost surely, 286782141 is an apocalyptic number.

It is an amenable number.

86782141 is a deficient number, since it is larger than the sum of its proper divisors (1).

86782141 is an equidigital number, since it uses as much as digits as its factorization.

86782141 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 21504, while the sum is 37.

The square root of 86782141 is about 9315.6932645939. The cubic root of 86782141 is about 442.7345895611.

The spelling of 86782141 in words is "eighty-six million, seven hundred eighty-two thousand, one hundred forty-one".