7952953 has 2 divisors, whose sum is σ = 7952954. Its totient is φ = 7952952.

The previous prime is 7952929. The next prime is 7952969. The reversal of 7952953 is 3592597.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7225344 + 727609 = 2688^2 + 853^2 .

It is an emirp because it is prime and its reverse (3592597) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 7952953 - 2⁵ = 7952921 is a prime.

It is a super-2 number, since 2×7952953² = 126498922840418, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (7952993) 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 as a sum of consecutive naturals, namely, 3976476 + 3976477.

It is an arithmetic number, because the mean of its divisors is an integer number (3976477).

Almost surely, 2^7952953 is an apocalyptic number.

It is an amenable number.

7952953 is a deficient number, since it is larger than the sum of its proper divisors (1).

7952953 is an equidigital number, since it uses as much as digits as its factorization.

7952953 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 85050, while the sum is 40.

The square root of 7952953 is about 2820.0980479409. The cubic root of 7952953 is about 199.6071705971.

The spelling of 7952953 in words is "seven million, nine hundred fifty-two thousand, nine hundred fifty-three".