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891225 = 325217233
BaseRepresentation
bin11011001100101011001
31200021112100
43121211121
5212004400
631034013
710401216
oct3314531
91607470
10891225
11559655
1236b909
1325286a
14192b0d
15129100
hexd9959

891225 has 36 divisors (see below), whose sum is σ = 1697436. Its totient is φ = 445440.

The previous prime is 891223. The next prime is 891239. The reversal of 891225 is 522198.

It can be written as a sum of positive squares in 6 ways, for example, as 20736 + 870489 = 144^2 + 933^2 .

It is not a de Polignac number, because 891225 - 21 = 891223 is a prime.

It is not an unprimeable number, because it can be changed into a prime (891223) 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 35 ways as a sum of consecutive naturals, for example, 3709 + ... + 3941.

It is an arithmetic number, because the mean of its divisors is an integer number (47151).

2891225 is an apocalyptic number.

891225 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

891225 is a deficient number, since it is larger than the sum of its proper divisors (806211).

891225 is a wasteful number, since it uses less digits than its factorization.

891225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 258 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 891225 is about 944.0471386536. The cubic root of 891225 is about 96.2341290523.

Subtracting from 891225 its sum of digits (27), we obtain a palindrome (891198).

The spelling of 891225 in words is "eight hundred ninety-one thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 17 25 45 51 75 85 153 225 233 255 425 699 765 1165 1275 2097 3495 3825 3961 5825 10485 11883 17475 19805 35649 52425 59415 99025 178245 297075 891225