578971 has 2 divisors, whose sum is σ = 578972. Its totient is φ = 578970.

The previous prime is 578959. The next prime is 578999. The reversal of 578971 is 179875.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 578971 - 2⁷ = 578843 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 578971.

It is not a weakly prime, because it can be changed into another prime (578371) 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, 289485 + 289486.

It is an arithmetic number, because the mean of its divisors is an integer number (289486).

2⁵⁷⁸⁹⁷¹ is an apocalyptic number.

578971 is a deficient number, since it is larger than the sum of its proper divisors (1).

578971 is an equidigital number, since it uses as much as digits as its factorization.

578971 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 17640, while the sum is 37.

The square root of 578971 is about 760.9014390839. The cubic root of 578971 is about 83.3461615807.

The spelling of 578971 in words is "five hundred seventy-eight thousand, nine hundred seventy-one".