7975 has 12 divisors (see below), whose sum is σ = 11160. Its totient is φ = 5600.

The previous prime is 7963. The next prime is 7993. The reversal of 7975 is 5797.

It is not a de Polignac number, because 7975 - 2¹¹ = 5927 is a prime.

7975 is an undulating number in base 12.

Its product of digits (2205) is a multiple of the sum of its prime divisors (45).

It is a plaindrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 261 + ... + 289.

It is an arithmetic number, because the mean of its divisors is an integer number (930).

2⁷⁹⁷⁵ is an apocalyptic number.

7975 is a deficient number, since it is larger than the sum of its proper divisors (3185).

7975 is a wasteful number, since it uses less digits than its factorization.

7975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50 (or 45 counting only the distinct ones).

The product of its digits is 2205, while the sum is 28.

The square root of 7975 is about 89.3028554975. The cubic root of 7975 is about 19.9791449275.

The spelling of 7975 in words is "seven thousand, nine hundred seventy-five".