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85577281 is a prime number
BaseRepresentation
bin1010001100111…
…00111001000001
312222000202221221
411012130321001
5133401433111
612254115041
72056252306
oct506347101
9188022857
1085577281
1144340529
12247aba81
1314963b5a
14b5190ad
1577a6371
hex519ce41

85577281 has 2 divisors, whose sum is σ = 85577282. Its totient is φ = 85577280.

The previous prime is 85577279. The next prime is 85577293. The reversal of 85577281 is 18277558.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 83887281 + 1690000 = 9159^2 + 1300^2 .

It is a cyclic number.

It is not a de Polignac number, because 85577281 - 21 = 85577279 is a prime.

It is a super-2 number, since 2×855772812 = 14646942046705922, which contains 22 as substring.

Together with 85577279, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (85577221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42788640 + 42788641.

It is an arithmetic number, because the mean of its divisors is an integer number (42788641).

Almost surely, 285577281 is an apocalyptic number.

It is an amenable number.

85577281 is a deficient number, since it is larger than the sum of its proper divisors (1).

85577281 is an equidigital number, since it uses as much as digits as its factorization.

85577281 is an evil number, because the sum of its binary digits is even.

The product of its digits is 156800, while the sum is 43.

The square root of 85577281 is about 9250.7989384701. The cubic root of 85577281 is about 440.6760972951.

It can be divided in two parts, 85577 and 281, that added together give a palindrome (85858).

The spelling of 85577281 in words is "eighty-five million, five hundred seventy-seven thousand, two hundred eighty-one".