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8085825 = 3552113
BaseRepresentation
bin11110110110000101000001
3120012210200000
4132312011001
54032221300
6445150213
7125504556
oct36660501
916183600
108085825
114623000
12285b369
1318a1517
141106a2d
15a9ac00
hex7b6141

8085825 has 72 divisors (see below), whose sum is σ = 16519776. Its totient is φ = 3920400.

The previous prime is 8085821. The next prime is 8085851. The reversal of 8085825 is 5285808.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is not a de Polignac number, because 8085825 - 22 = 8085821 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 8085825.

It is not an unprimeable number, because it can be changed into a prime (8085821) 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 in 71 ways as a sum of consecutive naturals, for example, 735070 + ... + 735080.

Almost surely, 28085825 is an apocalyptic number.

It is an amenable number.

8085825 is an abundant number, since it is smaller than the sum of its proper divisors (8433951).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8085825 is an equidigital number, since it uses as much as digits as its factorization.

8085825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 19 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The square root of 8085825 is about 2843.5585100363. The cubic root of 8085825 is about 200.7126658539.

It can be divided in two parts, 80 and 85825, that added together give a triangular number (85905 = T414).

The spelling of 8085825 in words is "eight million, eighty-five thousand, eight hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 27 33 45 55 75 81 99 121 135 165 225 243 275 297 363 405 495 605 675 825 891 1089 1215 1331 1485 1815 2025 2475 2673 3025 3267 3993 4455 5445 6075 6655 7425 9075 9801 11979 13365 16335 19965 22275 27225 29403 33275 35937 49005 59895 66825 81675 99825 107811 147015 179685 245025 299475 323433 539055 735075 898425 1617165 2695275 8085825