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85865301 = 3273130693
BaseRepresentation
bin1010001111000…
…11001101010101
312222120102001100
411013203031111
5133440142201
612304220313
72061562104
oct507431525
9188512040
1085865301
1144517965
122490a699
1314a34c92
14b59203b
157811886
hex51e3355

85865301 has 12 divisors (see below), whose sum is σ = 125727628. Its totient is φ = 56458944.

The previous prime is 85865293. The next prime is 85865321. The reversal of 85865301 is 10356858.

It can be written as a sum of positive squares in 2 ways, for example, as 60372900 + 25492401 = 7770^2 + 5049^2 .

It is not a de Polignac number, because 85865301 - 23 = 85865293 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85865321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64690 + ... + 66003.

Almost surely, 285865301 is an apocalyptic number.

It is an amenable number.

85865301 is a deficient number, since it is larger than the sum of its proper divisors (39862327).

85865301 is a wasteful number, since it uses less digits than its factorization.

85865301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130772 (or 130769 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 85865301 is about 9266.3531661598. The cubic root of 85865301 is about 441.1699254151.

The spelling of 85865301 in words is "eighty-five million, eight hundred sixty-five thousand, three hundred one".

Divisors: 1 3 9 73 219 657 130693 392079 1176237 9540589 28621767 85865301