577413 has 6 divisors (see below), whose sum is σ = 834054. Its totient is φ = 384936.

The previous prime is 577399. The next prime is 577427. The reversal of 577413 is 314775.

577413 is nontrivially palindromic in base 7.

577413 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (577399) and next prime (577427).

It can be written as a sum of positive squares in only one way, i.e., 567009 + 10404 = 753^2 + 102^2 .

It is not a de Polignac number, because 577413 - 2⁴ = 577397 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (577453) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 32070 + ... + 32087.

It is an arithmetic number, because the mean of its divisors is an integer number (139009).

2⁵⁷⁷⁴¹³ is an apocalyptic number.

It is an amenable number.

577413 is a deficient number, since it is larger than the sum of its proper divisors (256641).

577413 is a wasteful number, since it uses less digits than its factorization.

577413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64163 (or 64160 counting only the distinct ones).

The product of its digits is 2940, while the sum is 27.

The square root of 577413 is about 759.8769637250. The cubic root of 577413 is about 83.2713334392.

It can be divided in two parts, 577 and 413, that added together give a triangular number (990 = T₄₄).

The spelling of 577413 in words is "five hundred seventy-seven thousand, four hundred thirteen".