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85901369 is a prime number
BaseRepresentation
bin1010001111011…
…00000000111001
312222122020112012
411013230000321
5133442320434
612305055305
72062102211
oct507540071
9188566465
1085901369
1144541a74
1224927535
1314a48518
14b5a1241
15781c3ce
hex51ec039

85901369 has 2 divisors, whose sum is σ = 85901370. Its totient is φ = 85901368.

The previous prime is 85901339. The next prime is 85901371. The reversal of 85901369 is 96310958.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 57684025 + 28217344 = 7595^2 + 5312^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-85901369 is a prime.

It is a super-2 number, since 2×859013692 = 14758090392148322, which contains 22 as substring.

Together with 85901371, 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 (85901339) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42950684 + 42950685.

It is an arithmetic number, because the mean of its divisors is an integer number (42950685).

Almost surely, 285901369 is an apocalyptic number.

It is an amenable number.

85901369 is a deficient number, since it is larger than the sum of its proper divisors (1).

85901369 is an equidigital number, since it uses as much as digits as its factorization.

85901369 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 58320, while the sum is 41.

The square root of 85901369 is about 9268.2991427770. The cubic root of 85901369 is about 441.2316883904.

The spelling of 85901369 in words is "eighty-five million, nine hundred one thousand, three hundred sixty-nine".