575577 has 12 divisors (see below), whose sum is σ = 858624. Its totient is φ = 371160.

The previous prime is 575573. The next prime is 575579. The reversal of 575577 is 775575.

575577 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 575577 - 2² = 575573 is a prime.

575577 is strictly pandigital in base 7.

575577 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 575577.

It is not an unprimeable number, because it can be changed into a prime (575573) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 753 + ... + 1310.

It is an arithmetic number, because the mean of its divisors is an integer number (71552).

2⁵⁷⁵⁵⁷⁷ is an apocalyptic number.

It is an amenable number.

575577 is a deficient number, since it is larger than the sum of its proper divisors (283047).

575577 is a wasteful number, since it uses less digits than its factorization.

575577 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2100 (or 2097 counting only the distinct ones).

The product of its digits is 42875, while the sum is 36.

The square root of 575577 is about 758.6679115397. The cubic root of 575577 is about 83.1829804468.

It can be divided in two parts, 5755 and 77, that added together give a cube (5832 = 18³).

The spelling of 575577 in words is "five hundred seventy-five thousand, five hundred seventy-seven".