7953 has 8 divisors (see below), whose sum is σ = 11616. Its totient is φ = 4800.

The previous prime is 7951. The next prime is 7963. The reversal of 7953 is 3597.

7953 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

7953 is an esthetic number in base 7, because in such base its adjacent digits differ by 1.

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

It is not a de Polignac number, because 7953 - 2¹ = 7951 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (7951) 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 7 ways as a sum of consecutive naturals, for example, 88 + ... + 153.

It is an arithmetic number, because the mean of its divisors is an integer number (1452).

It is an amenable number.

7953 is a deficient number, since it is larger than the sum of its proper divisors (3663).

7953 is a wasteful number, since it uses less digits than its factorization.

7953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255.

The product of its digits is 945, while the sum is 24.

The square root of 7953 is about 89.1795940785. The cubic root of 7953 is about 19.9607563806.

Subtracting from 7953 its reverse (3597), we obtain a square (4356 = 66²).

The spelling of 7953 in words is "seven thousand, nine hundred fifty-three".