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85966369 is a prime number
BaseRepresentation
bin1010001111110…
…11111000100001
312222202112200121
411013323320201
5134001410434
612310320241
72062462546
oct507737041
9188675617
1085966369
1144586895
1224959081
1314a6bc98
14b5babcd
1578317b4
hex51fbe21

85966369 has 2 divisors, whose sum is σ = 85966370. Its totient is φ = 85966368.

The previous prime is 85966351. The next prime is 85966373. The reversal of 85966369 is 96366958.

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., 56806369 + 29160000 = 7537^2 + 5400^2 .

It is a cyclic number.

It is not a de Polignac number, because 85966369 - 29 = 85965857 is a prime.

It is a super-2 number, since 2×859663692 = 14780433198088322, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (85966319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42983184 + 42983185.

It is an arithmetic number, because the mean of its divisors is an integer number (42983185).

Almost surely, 285966369 is an apocalyptic number.

It is an amenable number.

85966369 is a deficient number, since it is larger than the sum of its proper divisors (1).

85966369 is an equidigital number, since it uses as much as digits as its factorization.

85966369 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2099520, while the sum is 52.

The square root of 85966369 is about 9271.8050561905. The cubic root of 85966369 is about 441.3429509901.

The spelling of 85966369 in words is "eighty-five million, nine hundred sixty-six thousand, three hundred sixty-nine".