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580831 = 1913041
BaseRepresentation
bin10001101110011011111
31002111202021
42031303133
5122041311
620241011
74636246
oct2156337
91074667
10580831
11367429
12240167
131744b4
1411195d
15b7171
hex8dcdf

580831 has 4 divisors (see below), whose sum is σ = 584064. Its totient is φ = 577600.

The previous prime is 580813. The next prime is 580837. The reversal of 580831 is 138085.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 138085 = 527617.

It is a 6-Lehmer number, since φ(580831) divides (580831-1)6.

It is a cyclic number.

It is not a de Polignac number, because 580831 - 213 = 572639 is a prime.

It is a super-2 number, since 2×5808312 = 674729301122, which contains 22 as substring.

It is a Duffinian number.

580831 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 580796 and 580805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (580837) 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 3 ways as a sum of consecutive naturals, for example, 1330 + ... + 1711.

It is an arithmetic number, because the mean of its divisors is an integer number (146016).

2580831 is an apocalyptic number.

580831 is a deficient number, since it is larger than the sum of its proper divisors (3233).

580831 is a wasteful number, since it uses less digits than its factorization.

580831 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3232.

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 580831 is about 762.1226935343. The cubic root of 580831 is about 83.4353186925.

The spelling of 580831 in words is "five hundred eighty thousand, eight hundred thirty-one".

Divisors: 1 191 3041 580831