578957 has 2 divisors, whose sum is σ = 578958. Its totient is φ = 578956.

The previous prime is 578923. The next prime is 578959. The reversal of 578957 is 759875.

It is a happy number.

578957 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 561001 + 17956 = 749^2 + 134^2 .

It is a cyclic number.

It is not a de Polignac number, because 578957 - 2⁸ = 578701 is a prime.

Together with 578959, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (578959) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 289478 + 289479.

It is an arithmetic number, because the mean of its divisors is an integer number (289479).

2⁵⁷⁸⁹⁵⁷ is an apocalyptic number.

It is an amenable number.

578957 is a deficient number, since it is larger than the sum of its proper divisors (1).

578957 is an equidigital number, since it uses as much as digits as its factorization.

578957 is an evil number, because the sum of its binary digits is even.

The product of its digits is 88200, while the sum is 41.

The square root of 578957 is about 760.8922394137. The cubic root of 578957 is about 83.3454897821.

The spelling of 578957 in words is "five hundred seventy-eight thousand, nine hundred fifty-seven".