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82364141 is a prime number
BaseRepresentation
bin1001110100011…
…00011011101101
312201222112100202
410322030123231
5132041123031
612101203245
72020040456
oct472143355
9181875322
1082364141
1142546442
1223700525
13140aa4a2
14ad2012d
15736e2cb
hex4e8c6ed

82364141 has 2 divisors, whose sum is σ = 82364142. Its totient is φ = 82364140.

The previous prime is 82364129. The next prime is 82364143. The reversal of 82364141 is 14146328.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 77616100 + 4748041 = 8810^2 + 2179^2 .

It is a cyclic number.

It is not a de Polignac number, because 82364141 - 26 = 82364077 is a prime.

Together with 82364143, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82364143) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41182070 + 41182071.

It is an arithmetic number, because the mean of its divisors is an integer number (41182071).

Almost surely, 282364141 is an apocalyptic number.

It is an amenable number.

82364141 is a deficient number, since it is larger than the sum of its proper divisors (1).

82364141 is an equidigital number, since it uses as much as digits as its factorization.

82364141 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4608, while the sum is 29.

The square root of 82364141 is about 9075.4691889731. The cubic root of 82364141 is about 435.0902899732.

The spelling of 82364141 in words is "eighty-two million, three hundred sixty-four thousand, one hundred forty-one".