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82936417 is a prime number
BaseRepresentation
bin1001111000110…
…00001001100001
312210001121101011
410330120021201
5132212431132
612121340521
72024643064
oct474301141
9183047334
1082936417
11428a73a3
1223937741
131424ab05
14b02c8db
157433b47
hex4f18261

82936417 has 2 divisors, whose sum is σ = 82936418. Its totient is φ = 82936416.

The previous prime is 82936411. The next prime is 82936423. The reversal of 82936417 is 71463928.

It is a balanced prime because it is at equal distance from previous prime (82936411) and next prime (82936423).

It can be written as a sum of positive squares in only one way, i.e., 78872161 + 4064256 = 8881^2 + 2016^2 .

It is a cyclic number.

It is not a de Polignac number, because 82936417 - 27 = 82936289 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 82936417.

It is not a weakly prime, because it can be changed into another prime (82936411) 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, 41468208 + 41468209.

It is an arithmetic number, because the mean of its divisors is an integer number (41468209).

Almost surely, 282936417 is an apocalyptic number.

It is an amenable number.

82936417 is a deficient number, since it is larger than the sum of its proper divisors (1).

82936417 is an equidigital number, since it uses as much as digits as its factorization.

82936417 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 72576, while the sum is 40.

The square root of 82936417 is about 9106.9433401114. The cubic root of 82936417 is about 436.0956517267.

The spelling of 82936417 in words is "eighty-two million, nine hundred thirty-six thousand, four hundred seventeen".