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82221973 is a prime number
BaseRepresentation
bin1001110011010…
…01101110010101
312201201022100021
410321221232111
5132022100343
612054145141
72015606131
oct471515625
9181638307
1082221973
1142459649
12236521b1
131405a872
14acc43c1
1573420ed
hex4e69b95

82221973 has 2 divisors, whose sum is σ = 82221974. Its totient is φ = 82221972.

The previous prime is 82221967. The next prime is 82221991. The reversal of 82221973 is 37912228.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 76160529 + 6061444 = 8727^2 + 2462^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-82221973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82228973) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41110986 + 41110987.

It is an arithmetic number, because the mean of its divisors is an integer number (41110987).

Almost surely, 282221973 is an apocalyptic number.

It is an amenable number.

82221973 is a deficient number, since it is larger than the sum of its proper divisors (1).

82221973 is an equidigital number, since it uses as much as digits as its factorization.

82221973 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 12096, while the sum is 34.

The square root of 82221973 is about 9067.6332634266. The cubic root of 82221973 is about 434.8398106610.

The spelling of 82221973 in words is "eighty-two million, two hundred twenty-one thousand, nine hundred seventy-three".