Search a number
-
+
85288121 is a prime number
BaseRepresentation
bin1010001010101…
…10010010111001
312221111002022022
411011112102321
5133313204441
612244004225
72053636262
oct505262271
9187432268
1085288121
1144163256
1224690675
1314892359
14b481969
15774a84b
hex51564b9

85288121 has 2 divisors, whose sum is σ = 85288122. Its totient is φ = 85288120.

The previous prime is 85288103. The next prime is 85288153. The reversal of 85288121 is 12188258.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 79905721 + 5382400 = 8939^2 + 2320^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-85288121 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (85288171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42644060 + 42644061.

It is an arithmetic number, because the mean of its divisors is an integer number (42644061).

Almost surely, 285288121 is an apocalyptic number.

It is an amenable number.

85288121 is a deficient number, since it is larger than the sum of its proper divisors (1).

85288121 is an equidigital number, since it uses as much as digits as its factorization.

85288121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 10240, while the sum is 35.

The square root of 85288121 is about 9235.1567934713. The cubic root of 85288121 is about 440.1791987021.

The spelling of 85288121 in words is "eighty-five million, two hundred eighty-eight thousand, one hundred twenty-one".