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90337033 is a prime number
BaseRepresentation
bin1010110001001…
…10111100001001
320021222121010001
411120212330021
5141111241113
612544123001
72144565163
oct530467411
9207877101
1090337033
1146aa1606
1226306461
131593c487
14bdd7933
157de67dd
hex5626f09

90337033 has 2 divisors, whose sum is σ = 90337034. Its totient is φ = 90337032.

The previous prime is 90337021. The next prime is 90337043. The reversal of 90337033 is 33073309.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87086224 + 3250809 = 9332^2 + 1803^2 .

It is an emirp because it is prime and its reverse (33073309) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 90337033 - 213 = 90328841 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 90336992 and 90337010.

It is not a weakly prime, because it can be changed into another prime (90337043) 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, 45168516 + 45168517.

It is an arithmetic number, because the mean of its divisors is an integer number (45168517).

Almost surely, 290337033 is an apocalyptic number.

It is an amenable number.

90337033 is a deficient number, since it is larger than the sum of its proper divisors (1).

90337033 is an equidigital number, since it uses as much as digits as its factorization.

90337033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5103, while the sum is 28.

The square root of 90337033 is about 9504.5795803918. The cubic root of 90337033 is about 448.6991782981.

The spelling of 90337033 in words is "ninety million, three hundred thirty-seven thousand, thirty-three".