7959 has 8 divisors (see below), whose sum is σ = 12160. Its totient is φ = 4536.

The previous prime is 7951. The next prime is 7963. The reversal of 7959 is 9597.

7959 = 17² + 18² + ... + 30².

It is a happy number.

7959 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 7959 - 2³ = 7951 is a prime.

It is a Duffinian number.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7951) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 169 + ... + 210.

It is an arithmetic number, because the mean of its divisors is an integer number (1520).

2⁷⁹⁵⁹ is an apocalyptic number.

7959 is a deficient number, since it is larger than the sum of its proper divisors (4201).

7959 is a wasteful number, since it uses less digits than its factorization.

7959 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389.

The product of its digits is 2835, while the sum is 30.

The square root of 7959 is about 89.2132277188. The cubic root of 7959 is about 19.9657747985.

The spelling of 7959 in words is "seven thousand, nine hundred fifty-nine".