7970 has 8 divisors (see below), whose sum is σ = 14364. Its totient is φ = 3184.

The previous prime is 7963. The next prime is 7993. The reversal of 7970 is 797.

It can be written as a sum of positive squares in 2 ways, for example, as 7921 + 49 = 89^2 + 7^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a magnanimous number.

It is an unprimeable number.

7970 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 3 ways as a sum of consecutive naturals, for example, 389 + ... + 408.

2⁷⁹⁷⁰ is an apocalyptic number.

7970 is a deficient number, since it is larger than the sum of its proper divisors (6394).

7970 is a wasteful number, since it uses less digits than its factorization.

7970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804.

The product of its (nonzero) digits is 441, while the sum is 23.

The square root of 7970 is about 89.2748564827. The cubic root of 7970 is about 19.9749686847.

The spelling of 7970 in words is "seven thousand, nine hundred seventy".