Search a number
-
+
997332 = 223731383
BaseRepresentation
bin11110011011111010100
31212200002020
43303133110
5223403312
633213140
711322450
oct3633724
91780066
10997332
11621346
124011b0
1328bc4b
141bd660
1514a78c
hexf37d4

997332 has 48 divisors (see below), whose sum is σ = 2752512. Its totient is φ = 275040.

The previous prime is 997327. The next prime is 997333. The reversal of 997332 is 233799.

It is a super-2 number, since 2×9973322 = 1989342236448, which contains 22 as substring.

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 997293 and 997302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (997333) 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 15 ways as a sum of consecutive naturals, for example, 2413 + ... + 2795.

It is an arithmetic number, because the mean of its divisors is an integer number (57344).

2997332 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 997332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1376256).

997332 is an abundant number, since it is smaller than the sum of its proper divisors (1755180).

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

997332 is a wasteful number, since it uses less digits than its factorization.

997332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 426 counting only the distinct ones).

The product of its digits is 10206, while the sum is 33.

The square root of 997332 is about 998.6651090331. The cubic root of 997332 is about 99.9109874578.

The spelling of 997332 in words is "nine hundred ninety-seven thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 62 84 93 124 186 217 372 383 434 651 766 868 1149 1302 1532 2298 2604 2681 4596 5362 8043 10724 11873 16086 23746 32172 35619 47492 71238 83111 142476 166222 249333 332444 498666 997332