580827 has 16 divisors (see below), whose sum is σ = 852768. Its totient is φ = 349440.

The previous prime is 580813. The next prime is 580837. The reversal of 580827 is 728085.

It is not a de Polignac number, because 580827 - 2⁶ = 580763 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 580794 and 580803.

It is not an unprimeable number, because it can be changed into a prime (580807) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1927 + ... + 2207.

It is an arithmetic number, because the mean of its divisors is an integer number (53298).

2⁵⁸⁰⁸²⁷ is an apocalyptic number.

580827 is a deficient number, since it is larger than the sum of its proper divisors (271941).

580827 is a wasteful number, since it uses less digits than its factorization.

580827 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350.

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 580827 is about 762.1200692804. The cubic root of 580827 is about 83.4351271611.

It can be divided in two parts, 5808 and 27, that multiplied together give a square (156816 = 396²).

The spelling of 580827 in words is "five hundred eighty thousand, eight hundred twenty-seven".