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85085641 is a prime number
BaseRepresentation
bin1010001001001…
…00110111001001
312221002210120001
411010210313021
5133240220031
612235403001
72052134044
oct504446711
9187083501
1085085641
1144035113
12245b3461
1314821144
14b42bc5b
15770a861
hex5124dc9

85085641 has 2 divisors, whose sum is σ = 85085642. Its totient is φ = 85085640.

The previous prime is 85085639. The next prime is 85085657. The reversal of 85085641 is 14658058.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 59228416 + 25857225 = 7696^2 + 5085^2 .

It is a cyclic number.

It is not a de Polignac number, because 85085641 - 21 = 85085639 is a prime.

Together with 85085639, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 85085641.

It is not a weakly prime, because it can be changed into another prime (85085621) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42542820 + 42542821.

It is an arithmetic number, because the mean of its divisors is an integer number (42542821).

Almost surely, 285085641 is an apocalyptic number.

It is an amenable number.

85085641 is a deficient number, since it is larger than the sum of its proper divisors (1).

85085641 is an equidigital number, since it uses as much as digits as its factorization.

85085641 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 38400, while the sum is 37.

The square root of 85085641 is about 9224.1878233262. The cubic root of 85085641 is about 439.8305838816.

The spelling of 85085641 in words is "eighty-five million, eighty-five thousand, six hundred forty-one".