580014973 has 2 divisors, whose sum is σ = 580014974. Its totient is φ = 580014972.

The previous prime is 580014971. The next prime is 580015013. The reversal of 580014973 is 379410085.

580014973 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 569633689 + 10381284 = 23867^2 + 3222^2 .

It is a cyclic number.

It is not a de Polignac number, because 580014973 - 2¹ = 580014971 is a prime.

It is a super-3 number, since 3×580014973³ (a number of 27 digits) contains 333 as substring.

Together with 580014971, it forms a pair of twin primes.

It is the 24084-th Hogben number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (580014971) by changing a digit.

It is a nontrivial repunit in base 24083.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 290007486 + 290007487.

It is an arithmetic number, because the mean of its divisors is an integer number (290007487).

Almost surely, 2^580014973 is an apocalyptic number.

It is an amenable number.

580014973 is a deficient number, since it is larger than the sum of its proper divisors (1).

580014973 is an equidigital number, since it uses as much as digits as its factorization.

580014973 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 580014973 is about 24083.5000155708. The cubic root of 580014973 is about 833.9622678059.

The spelling of 580014973 in words is "five hundred eighty million, fourteen thousand, nine hundred seventy-three".