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85033841 is a prime number
BaseRepresentation
bin1010001000110…
…00001101110001
312221000011111112
411010120031301
5133232040331
612234323105
72051530034
oct504301561
9187004445
1085033841
1143aaa202
1224589495
13148036a9
14b41701b
1576ea32b
hex5118371

85033841 has 2 divisors, whose sum is σ = 85033842. Its totient is φ = 85033840.

The previous prime is 85033811. The next prime is 85033849. The reversal of 85033841 is 14833058.

85033841 = 65202 + 65212.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 42523441 + 42510400 = 6521^2 + 6520^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-85033841 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 85033798 and 85033807.

It is not a weakly prime, because it can be changed into another prime (85033849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42516920 + 42516921.

It is an arithmetic number, because the mean of its divisors is an integer number (42516921).

Almost surely, 285033841 is an apocalyptic number.

85033841 is the 6521-st centered square number.

It is an amenable number.

85033841 is a deficient number, since it is larger than the sum of its proper divisors (1).

85033841 is an equidigital number, since it uses as much as digits as its factorization.

85033841 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 85033841 is about 9221.3795605647. The cubic root of 85033841 is about 439.7413097142.

Adding to 85033841 its reverse (14833058), we get a palindrome (99866899).

The spelling of 85033841 in words is "eighty-five million, thirty-three thousand, eight hundred forty-one".