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83220041 is a prime number
BaseRepresentation
bin1001111010111…
…01011001001001
312210121000102202
410331131121021
5132301020131
612131405545
72030234012
oct475353111
9183530382
1083220041
1142a804a3
1223a538b5
1314319c38
14b0a4009
15748cbcb
hex4f5d649

83220041 has 2 divisors, whose sum is σ = 83220042. Its totient is φ = 83220040.

The previous prime is 83220029. The next prime is 83220047. The reversal of 83220041 is 14002238.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 49056016 + 34164025 = 7004^2 + 5845^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-83220041 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 83219995 and 83220022.

It is not a weakly prime, because it can be changed into another prime (83220047) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41610020 + 41610021.

It is an arithmetic number, because the mean of its divisors is an integer number (41610021).

Almost surely, 283220041 is an apocalyptic number.

It is an amenable number.

83220041 is a deficient number, since it is larger than the sum of its proper divisors (1).

83220041 is an equidigital number, since it uses as much as digits as its factorization.

83220041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 83220041 is about 9122.5019046312. The cubic root of 83220041 is about 436.5922026616.

Adding to 83220041 its reverse (14002238), we get a palindrome (97222279).

The spelling of 83220041 in words is "eighty-three million, two hundred twenty thousand, forty-one".