8575 has 12 divisors (see below), whose sum is σ = 12400. Its totient is φ = 5880.

The previous prime is 8573. The next prime is 8581. The reversal of 8575 is 5758.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is not a de Polignac number, because 8575 - 2^{1} = 8573 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

8575 is a lucky number.

It is a plaindrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8573) 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, 1222 + ... + 1228.

2^{8575} is an apocalyptic number.

8575 is a deficient number, since it is larger than the sum of its proper divisors (3825).

8575 is an equidigital number, since it uses as much as digits as its factorization.

8575 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31 (or 12 counting only the distinct ones).

The product of its digits is 1400, while the sum is 25.

The square root of 8575 is about 92.6012958873. The cubic root of 8575 is about 20.4681241675.

8575 divided by its sum of digits (25) gives a palindrome (343).

The spelling of 8575 in words is "eight thousand, five hundred seventy-five".

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