8975 has 6 divisors (see below), whose sum is σ = 11160. Its totient is φ = 7160.

The previous prime is 8971. The next prime is 8999. The reversal of 8975 is 5798.

It is a happy number.

8975 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 8975 - 2² = 8971 is a prime.

It is a d-powerful number, because it can be written as 8 + 7⁴ + 9⁴ + 5 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8971) 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, 155 + ... + 204.

It is an arithmetic number, because the mean of its divisors is an integer number (1860).

2⁸⁹⁷⁵ is an apocalyptic number.

8975 is a deficient number, since it is larger than the sum of its proper divisors (2185).

8975 is a wasteful number, since it uses less digits than its factorization.

8975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 364 counting only the distinct ones).

The product of its digits is 2520, while the sum is 29.

The square root of 8975 is about 94.7364766075. The cubic root of 8975 is about 20.7815603342.

The spelling of 8975 in words is "eight thousand, nine hundred seventy-five".