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85637329 is a prime number
BaseRepresentation
bin1010001101010…
…11100011010001
312222010211022221
411012223203101
5133410343304
612255301041
72056622341
oct506534321
9188124287
1085637329
1144381658
122481a781
131498529b
14b532d21
1577b9054
hex51ab8d1

85637329 has 2 divisors, whose sum is σ = 85637330. Its totient is φ = 85637328.

The previous prime is 85637327. The next prime is 85637341. The reversal of 85637329 is 92373658.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 80138304 + 5499025 = 8952^2 + 2345^2 .

It is a cyclic number.

It is not a de Polignac number, because 85637329 - 21 = 85637327 is a prime.

Together with 85637327, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (85637327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42818664 + 42818665.

It is an arithmetic number, because the mean of its divisors is an integer number (42818665).

Almost surely, 285637329 is an apocalyptic number.

It is an amenable number.

85637329 is a deficient number, since it is larger than the sum of its proper divisors (1).

85637329 is an equidigital number, since it uses as much as digits as its factorization.

85637329 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 272160, while the sum is 43.

The square root of 85637329 is about 9254.0439268463. The cubic root of 85637329 is about 440.7791446271.

The spelling of 85637329 in words is "eighty-five million, six hundred thirty-seven thousand, three hundred twenty-nine".