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82097181 = 329121909
BaseRepresentation
bin1001110010010…
…11010000011101
312201110222011100
410321023100131
5132004102211
612051343313
72014546245
oct471132035
9181428140
1082097181
1142383911
12235b1b39
1314015b1a
14ac90b25
15731a156
hex4e4b41d

82097181 has 6 divisors (see below), whose sum is σ = 118584830. Its totient is φ = 54731448.

The previous prime is 82097167. The next prime is 82097219. The reversal of 82097181 is 18179028.

It can be written as a sum of positive squares in only one way, i.e., 81812025 + 285156 = 9045^2 + 534^2 .

It is not a de Polignac number, because 82097181 - 29 = 82096669 is a prime.

It is a super-2 number, since 2×820971812 = 13479894256293522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82097111) 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 in 5 ways as a sum of consecutive naturals, for example, 4560946 + ... + 4560963.

Almost surely, 282097181 is an apocalyptic number.

It is an amenable number.

82097181 is a deficient number, since it is larger than the sum of its proper divisors (36487649).

82097181 is a wasteful number, since it uses less digits than its factorization.

82097181 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9121915 (or 9121912 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 82097181 is about 9060.7494723119. The cubic root of 82097181 is about 434.6197072666.

The spelling of 82097181 in words is "eighty-two million, ninety-seven thousand, one hundred eighty-one".

Divisors: 1 3 9 9121909 27365727 82097181