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1083285 = 325719181
BaseRepresentation
bin100001000011110010101
32001000222200
410020132111
5234131120
635115113
712131160
oct4103625
92030880
101083285
1167a985
12442a99
132bc0c8
14202ad7
15165e90
hex108795

1083285 has 48 divisors (see below), whose sum is σ = 2271360. Its totient is φ = 466560.

The previous prime is 1083283. The next prime is 1083287. The reversal of 1083285 is 5823801.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1083283) and next prime (1083287).

It is not a de Polignac number, because 1083285 - 21 = 1083283 is a prime.

1083285 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1083283) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5895 + ... + 6075.

It is an arithmetic number, because the mean of its divisors is an integer number (47320).

21083285 is an apocalyptic number.

1083285 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1083285 is an abundant number, since it is smaller than the sum of its proper divisors (1188075).

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

1083285 is a wasteful number, since it uses less digits than its factorization.

1083285 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1083285 is about 1040.8097808918. The cubic root of 1083285 is about 102.7024750469.

The spelling of 1083285 in words is "one million, eighty-three thousand, two hundred eighty-five".

Divisors: 1 3 5 7 9 15 19 21 35 45 57 63 95 105 133 171 181 285 315 399 543 665 855 905 1197 1267 1629 1995 2715 3439 3801 5985 6335 8145 10317 11403 17195 19005 24073 30951 51585 57015 72219 120365 154755 216657 361095 1083285