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897000 = 233531323
BaseRepresentation
bin11011010111111101000
31200120110020
43122333220
5212201000
631120440
710424106
oct3327750
91616406
10897000
11562a25
12373120
13255390
14194c76
1512aba0
hexdafe8

897000 has 128 divisors (see below), whose sum is σ = 3144960. Its totient is φ = 211200.

The previous prime is 896983. The next prime is 897007. The reversal of 897000 is 798.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (897007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38989 + ... + 39011.

It is an arithmetic number, because the mean of its divisors is an integer number (24570).

2897000 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 897000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1572480).

897000 is an abundant number, since it is smaller than the sum of its proper divisors (2247960).

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

897000 is a wasteful number, since it uses less digits than its factorization.

897000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 897000 is about 947.1008394041. The cubic root of 897000 is about 96.4415424448.

Adding to 897000 its reverse (798), we get a palindrome (897798).

The spelling of 897000 in words is "eight hundred ninety-seven thousand".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 23 24 25 26 30 39 40 46 50 52 60 65 69 75 78 92 100 104 115 120 125 130 138 150 156 184 195 200 230 250 260 276 299 300 312 325 345 375 390 460 500 520 552 575 598 600 650 690 750 780 897 920 975 1000 1150 1196 1300 1380 1495 1500 1560 1625 1725 1794 1950 2300 2392 2600 2760 2875 2990 3000 3250 3450 3588 3900 4485 4600 4875 5750 5980 6500 6900 7176 7475 7800 8625 8970 9750 11500 11960 13000 13800 14950 17250 17940 19500 22425 23000 29900 34500 35880 37375 39000 44850 59800 69000 74750 89700 112125 149500 179400 224250 299000 448500 897000