7969 has 4 divisors (see below), whose sum is σ = 8596. Its totient is φ = 7344.

The previous prime is 7963. The next prime is 7993. The reversal of 7969 is 9697.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 400 + 7569 = 20^2 + 87^2 .

It is a cyclic number.

It is not a de Polignac number, because 7969 - 2⁵ = 7937 is a prime.

It is a super-2 number, since 2×7969² = 127009922, which contains 22 as substring.

It is a Duffinian number.

7969 is a lucky number.

It is a plaindrome in base 5.

It is a self number, because there is not a number n which added to its sum of digits gives 7969.

It is not an unprimeable number, because it can be changed into a prime (7963) 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 3 ways as a sum of consecutive naturals, for example, 294 + ... + 319.

It is an arithmetic number, because the mean of its divisors is an integer number (2149).

2⁷⁹⁶⁹ is an apocalyptic number.

It is an amenable number.

7969 is a deficient number, since it is larger than the sum of its proper divisors (627).

7969 is a wasteful number, since it uses less digits than its factorization.

7969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626.

The product of its digits is 3402, while the sum is 31.

The square root of 7969 is about 89.2692556259. The cubic root of 7969 is about 19.9741332266.

Adding to 7969 its sum of digits (31), we get a cube (8000 = 20³).

Subtracting 7969 from its reverse (9697), we obtain a cube (1728 = 12³).

The spelling of 7969 in words is "seven thousand, nine hundred sixty-nine".