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85240381 is a prime number
BaseRepresentation
bin1010001010010…
…10101000111101
312221101122211011
411011022220331
5133310143011
612242555221
72053350142
oct505125075
9187348734
1085240381
11441303a6
1224668b11
13148766c5
14b46c3c9
15773b621
hex514aa3d

85240381 has 2 divisors, whose sum is σ = 85240382. Its totient is φ = 85240380.

The previous prime is 85240357. The next prime is 85240409. The reversal of 85240381 is 18304258.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 52852900 + 32387481 = 7270^2 + 5691^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-85240381 is a prime.

It is a super-2 number, since 2×852403812 = 14531845106050322, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (85244381) 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, 42620190 + 42620191.

It is an arithmetic number, because the mean of its divisors is an integer number (42620191).

Almost surely, 285240381 is an apocalyptic number.

It is an amenable number.

85240381 is a deficient number, since it is larger than the sum of its proper divisors (1).

85240381 is an equidigital number, since it uses as much as digits as its factorization.

85240381 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 85240381 is about 9232.5717435609. The cubic root of 85240381 is about 440.0970533153.

The spelling of 85240381 in words is "eighty-five million, two hundred forty thousand, three hundred eighty-one".