Search a number
-
+
85266329 is a prime number
BaseRepresentation
bin1010001010100…
…00111110011001
312221102222102012
411011100332121
5133312010304
612243315305
72053515611
oct505207631
9187388365
1085266329
1144148945
122467bb35
1314885465
14b477a41
15774416e
hex5150f99

85266329 has 2 divisors, whose sum is σ = 85266330. Its totient is φ = 85266328.

The previous prime is 85266323. The next prime is 85266331. The reversal of 85266329 is 92366258.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82537225 + 2729104 = 9085^2 + 1652^2 .

It is a cyclic number.

It is not a de Polignac number, because 85266329 - 28 = 85266073 is a prime.

It is a super-2 number, since 2×852663292 = 14540693722272482, which contains 22 as substring.

Together with 85266331, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (85266323) 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, 42633164 + 42633165.

It is an arithmetic number, because the mean of its divisors is an integer number (42633165).

Almost surely, 285266329 is an apocalyptic number.

It is an amenable number.

85266329 is a deficient number, since it is larger than the sum of its proper divisors (1).

85266329 is an equidigital number, since it uses as much as digits as its factorization.

85266329 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 155520, while the sum is 41.

The square root of 85266329 is about 9233.9768788968. The cubic root of 85266329 is about 440.1417053908.

The spelling of 85266329 in words is "eighty-five million, two hundred sixty-six thousand, three hundred twenty-nine".