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830729 is a prime number
BaseRepresentation
bin11001010110100001001
31120012112202
43022310021
5203040404
625445545
710026644
oct3126411
91505482
10830729
11518159
123408b5
13231173
14178a5b
1511621e
hexcad09

830729 has 2 divisors, whose sum is σ = 830730. Its totient is φ = 830728.

The previous prime is 830719. The next prime is 830741. The reversal of 830729 is 927038.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 565504 + 265225 = 752^2 + 515^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-830729 is a prime.

It is a super-2 number, since 2×8307292 = 1380221342882, which contains 22 as substring.

It is a Chen prime.

It is a d-powerful number, because it can be written as 83 + 38 + 77 + 0 + 25 + 92 .

It is an alternating number because its digits alternate between even and odd.

It is not a weakly prime, because it can be changed into another prime (830719) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 415364 + 415365.

It is an arithmetic number, because the mean of its divisors is an integer number (415365).

2830729 is an apocalyptic number.

It is an amenable number.

830729 is a deficient number, since it is larger than the sum of its proper divisors (1).

830729 is an equidigital number, since it uses as much as digits as its factorization.

830729 is an odious number, because the sum of its binary digits is odd.

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

The square root of 830729 is about 911.4433608294. The cubic root of 830729 is about 94.0054697285.

The spelling of 830729 in words is "eight hundred thirty thousand, seven hundred twenty-nine".