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830361 = 3739541
BaseRepresentation
bin11001010101110011001
31120012001010
43022232121
5203032421
625444133
710025610
oct3125631
91505033
10830361
11517954
12340649
13230c4c
14178877
15116076
hexcab99

830361 has 8 divisors (see below), whose sum is σ = 1265344. Its totient is φ = 474480.

The previous prime is 830359. The next prime is 830363. The reversal of 830361 is 163038.

It is an interprime number because it is at equal distance from previous prime (830359) and next prime (830363).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 830361 - 21 = 830359 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 39541 = 830361 / (8 + 3 + 0 + 3 + 6 + 1).

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

It is a Duffinian number.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 830361.

It is not an unprimeable number, because it can be changed into a prime (830363) 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 7 ways as a sum of consecutive naturals, for example, 19750 + ... + 19791.

It is an arithmetic number, because the mean of its divisors is an integer number (158168).

2830361 is an apocalyptic number.

It is an amenable number.

830361 is a deficient number, since it is larger than the sum of its proper divisors (434983).

830361 is a wasteful number, since it uses less digits than its factorization.

830361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39551.

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 830361 is about 911.2414608653. The cubic root of 830361 is about 93.9915866923.

Adding to 830361 its reverse (163038), we get a palindrome (993399).

The spelling of 830361 in words is "eight hundred thirty thousand, three hundred sixty-one".

Divisors: 1 3 7 21 39541 118623 276787 830361