577981 has 2 divisors, whose sum is σ = 577982. Its totient is φ = 577980.

The previous prime is 577979. The next prime is 578021. The reversal of 577981 is 189775.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 549081 + 28900 = 741^2 + 170^2 .

It is a cyclic number.

It is not a de Polignac number, because 577981 - 2¹ = 577979 is a prime.

It is a super-2 number, since 2×577981² = 668124072722, which contains 22 as substring.

Together with 577979, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 577981.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (577901) 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, 288990 + 288991.

It is an arithmetic number, because the mean of its divisors is an integer number (288991).

2⁵⁷⁷⁹⁸¹ is an apocalyptic number.

It is an amenable number.

577981 is a deficient number, since it is larger than the sum of its proper divisors (1).

577981 is an equidigital number, since it uses as much as digits as its factorization.

577981 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 577981 is about 760.2506165732. The cubic root of 577981 is about 83.2986291050.

The spelling of 577981 in words is "five hundred seventy-seven thousand, nine hundred eighty-one".