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83322329 is a prime number
BaseRepresentation
bin1001111011101…
…10010111011001
312210210012202012
410331312113121
5132312303304
612133515305
72031141146
oct475662731
9183705665
1083322329
1143040332
1223aa2b35
131435466c
14b0cd3cd
1574ad16e
hex4f765d9

83322329 has 2 divisors, whose sum is σ = 83322330. Its totient is φ = 83322328.

The previous prime is 83322313. The next prime is 83322341. The reversal of 83322329 is 92322338.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 62410000 + 20912329 = 7900^2 + 4573^2 .

It is a cyclic number.

It is not a de Polignac number, because 83322329 - 24 = 83322313 is a prime.

It is a super-2 number, since 2×833223292 = 13885221019968482, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 83322295 and 83322304.

It is not a weakly prime, because it can be changed into another prime (83322359) 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, 41661164 + 41661165.

It is an arithmetic number, because the mean of its divisors is an integer number (41661165).

Almost surely, 283322329 is an apocalyptic number.

It is an amenable number.

83322329 is a deficient number, since it is larger than the sum of its proper divisors (1).

83322329 is an equidigital number, since it uses as much as digits as its factorization.

83322329 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 15552, while the sum is 32.

The square root of 83322329 is about 9128.1065396938. The cubic root of 83322329 is about 436.7710051805.

Subtracting 83322329 from its reverse (92322338), we obtain a palindrome (9000009).

The spelling of 83322329 in words is "eighty-three million, three hundred twenty-two thousand, three hundred twenty-nine".