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82802021 is a prime number
BaseRepresentation
bin1001110111101…
…11010101100101
312202210210000112
410323313111211
5132144131041
612114422405
72023543211
oct473672545
9182723015
1082802021
1142815425
1223891a05
13142018a3
14add5941
157408deb
hex4ef7565

82802021 has 2 divisors, whose sum is σ = 82802022. Its totient is φ = 82802020.

The previous prime is 82802011. The next prime is 82802029. The reversal of 82802021 is 12020828.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 65044225 + 17757796 = 8065^2 + 4214^2 .

It is a cyclic number.

It is not a de Polignac number, because 82802021 - 210 = 82800997 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82802029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41401010 + 41401011.

It is an arithmetic number, because the mean of its divisors is an integer number (41401011).

Almost surely, 282802021 is an apocalyptic number.

It is an amenable number.

82802021 is a deficient number, since it is larger than the sum of its proper divisors (1).

82802021 is an equidigital number, since it uses as much as digits as its factorization.

82802021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 512, while the sum is 23.

The square root of 82802021 is about 9099.5615828456. The cubic root of 82802021 is about 435.8599643564.

Adding to 82802021 its reverse (12020828), we get a palindrome (94822849).

It can be divided in two parts, 8280 and 2021, that added together give a palindrome (10301).

The spelling of 82802021 in words is "eighty-two million, eight hundred two thousand, twenty-one".