575575 has 48 divisors (see below), whose sum is σ = 999936. Its totient is φ = 316800.

The previous prime is 575573. The next prime is 575579.

575575 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 575575 - 2¹ = 575573 is a prime.

It is a nude number because it is divisible by every one of its digits.

575575 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 575575.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 25014 + ... + 25036.

It is an arithmetic number, because the mean of its divisors is an integer number (20832).

2⁵⁷⁵⁵⁷⁵ is an apocalyptic number.

575575 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

575575 is a deficient number, since it is larger than the sum of its proper divisors (424361).

575575 is a wasteful number, since it uses less digits than its factorization.

575575 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 59 counting only the distinct ones).

The product of its digits is 30625, while the sum is 34.

The square root of 575575 is about 758.6665934388. Note that the first 3 decimals coincide. The cubic root of 575575 is about 83.1828840994.

The spelling of 575575 in words is "five hundred seventy-five thousand, five hundred seventy-five".