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897832 = 23138997
BaseRepresentation
bin11011011001100101000
31200121121001
43123030220
5212212312
631124344
710426405
oct3331450
91617531
10897832
11563611
123736b4
13255880
141952ac
1512b057
hexdb328

897832 has 32 divisors (see below), whose sum is σ = 1852200. Its totient is φ = 405504.

The previous prime is 897829. The next prime is 897847. The reversal of 897832 is 238798.

897832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 454276 + 443556 = 674^2 + 666^2 .

It is a super-3 number, since 3×8978323 = 2171233321244143104, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 897791 and 897800.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9208 + ... + 9304.

2897832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 897832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926100).

897832 is an abundant number, since it is smaller than the sum of its proper divisors (954368).

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

897832 is a wasteful number, since it uses less digits than its factorization.

897832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 201 counting only the distinct ones).

The product of its digits is 24192, while the sum is 37.

The square root of 897832 is about 947.5399727716. The cubic root of 897832 is about 96.4713509055.

It can be divided in two parts, 8978 and 32, that multiplied together give a square (287296 = 5362).

The spelling of 897832 in words is "eight hundred ninety-seven thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 13 26 52 89 97 104 178 194 356 388 712 776 1157 1261 2314 2522 4628 5044 8633 9256 10088 17266 34532 69064 112229 224458 448916 897832