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830297 = 132173
BaseRepresentation
bin11001010101101011001
31120011221202
43022231121
5203032142
625443545
710025456
oct3125531
91504852
10830297
115178a6
123405b5
13230c00
1417882d
15116032
hexcab59

830297 has 12 divisors (see below), whose sum is σ = 955260. Its totient is φ = 721344.

The previous prime is 830293. The next prime is 830309. The reversal of 830297 is 792038.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 92416 + 737881 = 304^2 + 859^2 .

It is not a de Polignac number, because 830297 - 22 = 830293 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (830293) 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 11 ways as a sum of consecutive naturals, for example, 48833 + ... + 48849.

It is an arithmetic number, because the mean of its divisors is an integer number (79605).

2830297 is an apocalyptic number.

It is an amenable number.

830297 is a deficient number, since it is larger than the sum of its proper divisors (124963).

830297 is an equidigital number, since it uses as much as digits as its factorization.

830297 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 830297 is about 911.2063432615. The cubic root of 830297 is about 93.9891718325.

The spelling of 830297 in words is "eight hundred thirty thousand, two hundred ninety-seven".

Divisors: 1 13 17 169 221 289 2873 3757 4913 48841 63869 830297