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85337381 is a prime number
BaseRepresentation
bin1010001011000…
…10010100100101
312221120120212202
411011202110211
5133321244011
612245024245
72054233013
oct505422445
9187516782
1085337381
1144197268
12246b5085
13148ab8bc
14b4958b3
15775a23b
hex5162525

85337381 has 2 divisors, whose sum is σ = 85337382. Its totient is φ = 85337380.

The previous prime is 85337347. The next prime is 85337393. The reversal of 85337381 is 18373358.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 74114881 + 11222500 = 8609^2 + 3350^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-85337381 is a prime.

It is a super-2 number, since 2×853373812 = 14564937191878322, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (85337321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42668690 + 42668691.

It is an arithmetic number, because the mean of its divisors is an integer number (42668691).

Almost surely, 285337381 is an apocalyptic number.

It is an amenable number.

85337381 is a deficient number, since it is larger than the sum of its proper divisors (1).

85337381 is an equidigital number, since it uses as much as digits as its factorization.

85337381 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 60480, while the sum is 38.

The square root of 85337381 is about 9237.8233908210. The cubic root of 85337381 is about 440.2639273993.

The spelling of 85337381 in words is "eighty-five million, three hundred thirty-seven thousand, three hundred eighty-one".