7973289 has 32 divisors (see below), whose sum is σ = 12960000. Its totient is φ = 4822272.

The previous prime is 7973281. The next prime is 7973299. The reversal of 7973289 is 9823797.

It is not a de Polignac number, because 7973289 - 2³ = 7973281 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (190512) is a multiple of the sum of its prime divisors (648).

It is not an unprimeable number, because it can be changed into a prime (7973281) 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 31 ways as a sum of consecutive naturals, for example, 13012 + ... + 13610.

It is an arithmetic number, because the mean of its divisors is an integer number (405000).

Almost surely, 2^7973289 is an apocalyptic number.

It is an amenable number.

7973289 is a deficient number, since it is larger than the sum of its proper divisors (4986711).

7973289 is a wasteful number, since it uses less digits than its factorization.

7973289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 648 counting only the distinct ones).

The product of its digits is 190512, while the sum is 45.

The square root of 7973289 is about 2823.7012944007. The cubic root of 7973289 is about 199.7771601375. Note that the first 3 decimals are identical.

The spelling of 7973289 in words is "seven million, nine hundred seventy-three thousand, two hundred eighty-nine".