16975 has 12 divisors (see below), whose sum is σ = 24304. Its totient is φ = 11520.

The previous prime is 16963. The next prime is 16979. The reversal of 16975 is 57961.

It is a happy number.

It is not a de Polignac number, because 16975 - 2⁵ = 16943 is a prime.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16979) 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 11 ways as a sum of consecutive naturals, for example, 127 + ... + 223.

2¹⁶⁹⁷⁵ is an apocalyptic number.

16975 is the 70-th nonagonal number.

16975 is a deficient number, since it is larger than the sum of its proper divisors (7329).

16975 is an equidigital number, since it uses as much as digits as its factorization.

16975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 109 counting only the distinct ones).

The product of its digits is 1890, while the sum is 28.

The square root of 16975 is about 130.2881422080. The cubic root of 16975 is about 25.7002054014.

The spelling of 16975 in words is "sixteen thousand, nine hundred seventy-five".