• 575 can be written using four 4's:

575 has 6 divisors (see below), whose sum is σ = 744. Its totient is φ = 440.

The previous prime is 571. The next prime is 577.

575 is nontrivially palindromic in base 10 and base 13.

It is a Cunningham number, because it is equal to 24^{2}-1.

It is not a de Polignac number, because 575 - 2^{2} = 571 is a prime.

It is a Duffinian number.

575 is an undulating number in base 10 and base 13.

It is a plaindrome in base 6, base 12 and base 16.

It is a nialpdrome in base 5.

It is a congruent number.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 575.

It is not an unprimeable number, because it can be changed into a prime (571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14 + ... + 36.

It is an arithmetic number, because the mean of its divisors is an integer number (124).

575 is a deficient number, since it is larger than the sum of its proper divisors (169).

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

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

The sum of its prime factors is 33 (or 28 counting only the distinct ones).

The product of its digits is 175, while the sum is 17.

The square root of 575 is about 23.9791576166. The cubic root of 575 is about 8.3155174942.

Subtracting from 575 its product of digits (175), we obtain a square (400 = 20^{2}).

The spelling of 575 in words is "five hundred seventy-five", and thus it is an aban number and an oban number.

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