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85504537 is a prime number
BaseRepresentation
bin1010001100010…
…11001000011001
312221220002011201
411012023020121
5133342121122
612252354201
72055530236
oct506131031
9187802151
1085504537
11442a0908
1224775961
1314939a01
14b4da78d
15778ea27
hex518b219

85504537 has 2 divisors, whose sum is σ = 85504538. Its totient is φ = 85504536.

The previous prime is 85504453. The next prime is 85504553. The reversal of 85504537 is 73540558.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 80209936 + 5294601 = 8956^2 + 2301^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-85504537 is a prime.

It is a super-2 number, since 2×855045372 = 14622051695168738, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 85504496 and 85504505.

It is not a weakly prime, because it can be changed into another prime (85504567) 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, 42752268 + 42752269.

It is an arithmetic number, because the mean of its divisors is an integer number (42752269).

Almost surely, 285504537 is an apocalyptic number.

It is an amenable number.

85504537 is a deficient number, since it is larger than the sum of its proper divisors (1).

85504537 is an equidigital number, since it uses as much as digits as its factorization.

85504537 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 84000, while the sum is 37.

The square root of 85504537 is about 9246.8663340615. The cubic root of 85504537 is about 440.5511979875.

The spelling of 85504537 in words is "eighty-five million, five hundred four thousand, five hundred thirty-seven".