8957089 has 2 divisors, whose sum is σ = 8957090. Its totient is φ = 8957088.

The previous prime is 8957083. The next prime is 8957093. The reversal of 8957089 is 9807598.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5688225 + 3268864 = 2385^2 + 1808^2 .

It is a cyclic number.

It is not a de Polignac number, because 8957089 - 2¹³ = 8948897 is a prime.

8957089 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (8957083) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4478544 + 4478545.

It is an arithmetic number, because the mean of its divisors is an integer number (4478545).

Almost surely, 2^8957089 is an apocalyptic number.

It is an amenable number.

8957089 is a deficient number, since it is larger than the sum of its proper divisors (1).

8957089 is an equidigital number, since it uses as much as digits as its factorization.

8957089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 181440, while the sum is 46.

The square root of 8957089 is about 2992.8396214966. The cubic root of 8957089 is about 207.6772685568.

Adding to 8957089 its product of nonzero digits (181440), we get a square (9138529 = 3023²).

The spelling of 8957089 in words is "eight million, nine hundred fifty-seven thousand, eighty-nine".