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83037217 is a prime number
BaseRepresentation
bin1001111001100…
…00110000100001
312210020201122111
410330300300201
5132224142332
612123435321
72025543004
oct474606041
9183221574
1083037217
11429660aa
1223985b41
1314284963
14b05753b
157453947
hex4f30c21

83037217 has 2 divisors, whose sum is σ = 83037218. Its totient is φ = 83037216.

The previous prime is 83037211. The next prime is 83037223. The reversal of 83037217 is 71273038.

It is a balanced prime because it is at equal distance from previous prime (83037211) and next prime (83037223).

It can be written as a sum of positive squares in only one way, i.e., 83010321 + 26896 = 9111^2 + 164^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-83037217 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (83037211) 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, 41518608 + 41518609.

It is an arithmetic number, because the mean of its divisors is an integer number (41518609).

Almost surely, 283037217 is an apocalyptic number.

It is an amenable number.

83037217 is a deficient number, since it is larger than the sum of its proper divisors (1).

83037217 is an equidigital number, since it uses as much as digits as its factorization.

83037217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7056, while the sum is 31.

The square root of 83037217 is about 9112.4758984592. The cubic root of 83037217 is about 436.2722554690.

The spelling of 83037217 in words is "eighty-three million, thirty-seven thousand, two hundred seventeen".