577013 has 8 divisors (see below), whose sum is σ = 605880. Its totient is φ = 548800.

The previous prime is 577009. The next prime is 577033. The reversal of 577013 is 310775.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 418609 + 158404 = 647^2 + 398^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 577013 - 2² = 577009 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 577013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (577033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2831 + ... + 3027.

It is an arithmetic number, because the mean of its divisors is an integer number (75735).

2⁵⁷⁷⁰¹³ is an apocalyptic number.

It is an amenable number.

577013 is a deficient number, since it is larger than the sum of its proper divisors (28867).

577013 is a wasteful number, since it uses less digits than its factorization.

577013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327.

The product of its (nonzero) digits is 735, while the sum is 23.

The square root of 577013 is about 759.6137176223. The cubic root of 577013 is about 83.2521003958.

Adding to 577013 its reverse (310775), we get a palindrome (887788).

The spelling of 577013 in words is "five hundred seventy-seven thousand, thirteen".