10975 has 6 divisors (see below), whose sum is σ = 13640. Its totient is φ = 8760.

The previous prime is 10973. The next prime is 10979. The reversal of 10975 is 57901.

It is not a de Polignac number, because 10975 - 2¹ = 10973 is a prime.

It is an Ulam number.

10975 is a lucky number.

It is a plaindrome in base 14 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10973) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 195 + ... + 244.

2¹⁰⁹⁷⁵ is an apocalyptic number.

10975 is a deficient number, since it is larger than the sum of its proper divisors (2665).

10975 is an equidigital number, since it uses as much as digits as its factorization.

10975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 315, while the sum is 22.

The square root of 10975 is about 104.7616341988. The cubic root of 10975 is about 22.2229397916. Note that the first 3 decimals are identical.

The spelling of 10975 in words is "ten thousand, nine hundred seventy-five".