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83409329 is a prime number
BaseRepresentation
bin1001111100010…
…11100110110001
312210221122002102
410332023212301
5132323044304
612135430145
72031652613
oct476134661
9183848072
1083409329
114309a733
1223b25355
1314385143
14b112db3
1574c8d1e
hex4f8b9b1

83409329 has 2 divisors, whose sum is σ = 83409330. Its totient is φ = 83409328.

The previous prime is 83409283. The next prime is 83409331. The reversal of 83409329 is 92390438.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 49210225 + 34199104 = 7015^2 + 5848^2 .

It is a cyclic number.

It is not a de Polignac number, because 83409329 - 212 = 83405233 is a prime.

Together with 83409331, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 83409292 and 83409301.

It is not a weakly prime, because it can be changed into another prime (83406329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41704664 + 41704665.

It is an arithmetic number, because the mean of its divisors is an integer number (41704665).

Almost surely, 283409329 is an apocalyptic number.

It is an amenable number.

83409329 is a deficient number, since it is larger than the sum of its proper divisors (1).

83409329 is an equidigital number, since it uses as much as digits as its factorization.

83409329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 46656, while the sum is 38.

The square root of 83409329 is about 9132.8707972904. The cubic root of 83409329 is about 436.9229686864.

It can be divided in two parts, 83409 and 329, that added together give a palindrome (83738).

The spelling of 83409329 in words is "eighty-three million, four hundred nine thousand, three hundred twenty-nine".