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83129329 is a prime number
BaseRepresentation
bin1001111010001…
…11001111110001
312210102102000001
410331013033301
5132240114304
612125430001
72026405363
oct475071761
9183372001
1083129329
1142a19328
1223a0b301
13142b786a
14b07cd33
157470da4
hex4f473f1

83129329 has 2 divisors, whose sum is σ = 83129330. Its totient is φ = 83129328.

The previous prime is 83129327. The next prime is 83129369. The reversal of 83129329 is 92392138.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 82319329 + 810000 = 9073^2 + 900^2 .

It is a cyclic number.

It is not a de Polignac number, because 83129329 - 21 = 83129327 is a prime.

Together with 83129327, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (83129327) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41564664 + 41564665.

It is an arithmetic number, because the mean of its divisors is an integer number (41564665).

Almost surely, 283129329 is an apocalyptic number.

It is an amenable number.

83129329 is a deficient number, since it is larger than the sum of its proper divisors (1).

83129329 is an equidigital number, since it uses as much as digits as its factorization.

83129329 is an evil number, because the sum of its binary digits is even.

The product of its digits is 23328, while the sum is 37.

The square root of 83129329 is about 9117.5286673528. The cubic root of 83129329 is about 436.4335127195.

The spelling of 83129329 in words is "eighty-three million, one hundred twenty-nine thousand, three hundred twenty-nine".