7892953 has 2 divisors, whose sum is σ = 7892954. Its totient is φ = 7892952.

The previous prime is 7892939. The next prime is 7892957. The reversal of 7892953 is 3592987.

It is a happy number.

7892953 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4609609 + 3283344 = 2147^2 + 1812^2 .

It is a cyclic number.

It is not a de Polignac number, because 7892953 - 2⁹ = 7892441 is a prime.

It is a d-powerful number, because it can be written as 7⁸ + 8⁷ + 9⁴ + 2¹³ + 9⁴ + 5⁵ + 3⁸ .

It is not a weakly prime, because it can be changed into another prime (7892957) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3946476 + 3946477.

It is an arithmetic number, because the mean of its divisors is an integer number (3946477).

Almost surely, 2^7892953 is an apocalyptic number.

It is an amenable number.

7892953 is a deficient number, since it is larger than the sum of its proper divisors (1).

7892953 is an equidigital number, since it uses as much as digits as its factorization.

7892953 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 136080, while the sum is 43.

The square root of 7892953 is about 2809.4399797824. The cubic root of 7892953 is about 199.1039329819.

The spelling of 7892953 in words is "seven million, eight hundred ninety-two thousand, nine hundred fifty-three".