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65083033 is a prime number
BaseRepresentation
bin1111100001000…
…1011010011001
311112110120010201
43320101122121
5113130124113
610242542201
71420124311
oct370213231
9145416121
1065083033
1133812934
1219967961
1310639792
148902441
155aa8cdd
hex3e11699

65083033 has 2 divisors, whose sum is σ = 65083034. Its totient is φ = 65083032.

The previous prime is 65083019. The next prime is 65083049. The reversal of 65083033 is 33038056.

65083033 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 52881984 + 12201049 = 7272^2 + 3493^2 .

It is a cyclic number.

It is not a de Polignac number, because 65083033 - 25 = 65083001 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 65082992 and 65083010.

It is not a weakly prime, because it can be changed into another prime (65083013) 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, 32541516 + 32541517.

It is an arithmetic number, because the mean of its divisors is an integer number (32541517).

Almost surely, 265083033 is an apocalyptic number.

It is an amenable number.

65083033 is a deficient number, since it is larger than the sum of its proper divisors (1).

65083033 is an equidigital number, since it uses as much as digits as its factorization.

65083033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6480, while the sum is 28.

The square root of 65083033 is about 8067.4055928780. The cubic root of 65083033 is about 402.2437096357.

The spelling of 65083033 in words is "sixty-five million, eighty-three thousand, thirty-three".