580381 has 2 divisors, whose sum is σ = 580382. Its totient is φ = 580380.

The previous prime is 580379. The next prime is 580409. The reversal of 580381 is 183085.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 525625 + 54756 = 725^2 + 234^2 .

It is a cyclic number.

It is not a de Polignac number, because 580381 - 2¹ = 580379 is a prime.

It is a super-2 number, since 2×580381² = 673684210322, which contains 22 as substring.

Together with 580379, it forms a pair of twin primes.

580381 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (580301) 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 as a sum of consecutive naturals, namely, 290190 + 290191.

It is an arithmetic number, because the mean of its divisors is an integer number (290191).

2⁵⁸⁰³⁸¹ is an apocalyptic number.

It is an amenable number.

580381 is a deficient number, since it is larger than the sum of its proper divisors (1).

580381 is an equidigital number, since it uses as much as digits as its factorization.

580381 is an odious number, because the sum of its binary digits is odd.

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

The square root of 580381 is about 761.8274082757. The cubic root of 580381 is about 83.4137658978.

It can be divided in two parts, 580 and 381, that added together give a square (961 = 31²).

The spelling of 580381 in words is "five hundred eighty thousand, three hundred eighty-one".