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85006317 = 3116738447
BaseRepresentation
bin1010001000100…
…01011111101101
312220221202202010
411010101133231
5133230200232
612233551433
72051353554
oct504213755
9186852663
1085006317
1143a90560
1224575579
13147c3cc6
14b40ad9b
1576e20cc
hex51117ed

85006317 has 16 divisors (see below), whose sum is σ = 125494272. Its totient is φ = 50748720.

The previous prime is 85006297. The next prime is 85006331. The reversal of 85006317 is 71360058.

It is not a de Polignac number, because 85006317 - 26 = 85006253 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85006357) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17013 + ... + 21434.

It is an arithmetic number, because the mean of its divisors is an integer number (7843392).

Almost surely, 285006317 is an apocalyptic number.

It is an amenable number.

85006317 is a deficient number, since it is larger than the sum of its proper divisors (40487955).

85006317 is a wasteful number, since it uses less digits than its factorization.

85006317 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38528.

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 85006317 is about 9219.8870383536. The cubic root of 85006317 is about 439.6938590139.

The spelling of 85006317 in words is "eighty-five million, six thousand, three hundred seventeen".

Divisors: 1 3 11 33 67 201 737 2211 38447 115341 422917 1268751 2575949 7727847 28335439 85006317