7952753 has 8 divisors (see below), whose sum is σ = 8559720. Its totient is φ = 7361280.

The previous prime is 7952701. The next prime is 7952761. The reversal of 7952753 is 3572597.

7952753 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1940449 + 6012304 = 1393^2 + 2452^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 7952753 - 2⁶ = 7952689 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (7952453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2798 + ... + 4871.

It is an arithmetic number, because the mean of its divisors is an integer number (1069965).

Almost surely, 2^7952753 is an apocalyptic number.

It is an amenable number.

7952753 is a deficient number, since it is larger than the sum of its proper divisors (606967).

7952753 is a wasteful number, since it uses less digits than its factorization.

7952753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7747.

The product of its digits is 66150, while the sum is 38.

The square root of 7952753 is about 2820.0625879579. The cubic root of 7952753 is about 199.6054973499.

The spelling of 7952753 in words is "seven million, nine hundred fifty-two thousand, seven hundred fifty-three".