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85776601 is a prime number
BaseRepresentation
bin1010001110011…
…01100011011001
312222101220101011
411013031203121
5133424322401
612302253521
72061042361
oct507154331
9188356334
1085776601
1144467259
12248872a1
1314a037b1
14b56b9a1
1577e5451
hex51cd8d9

85776601 has 2 divisors, whose sum is σ = 85776602. Its totient is φ = 85776600.

The previous prime is 85776589. The next prime is 85776617. The reversal of 85776601 is 10667758.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 59521225 + 26255376 = 7715^2 + 5124^2 .

It is a cyclic number.

It is not a de Polignac number, because 85776601 - 223 = 77387993 is a prime.

It is a super-3 number, since 3×857766013 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (85776641) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42888300 + 42888301.

It is an arithmetic number, because the mean of its divisors is an integer number (42888301).

Almost surely, 285776601 is an apocalyptic number.

It is an amenable number.

85776601 is a deficient number, since it is larger than the sum of its proper divisors (1).

85776601 is an equidigital number, since it uses as much as digits as its factorization.

85776601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 70560, while the sum is 40.

The square root of 85776601 is about 9261.5657963435. The cubic root of 85776601 is about 441.0179616058.

The spelling of 85776601 in words is "eighty-five million, seven hundred seventy-six thousand, six hundred one".