9009157 has 2 divisors, whose sum is σ = 9009158. Its totient is φ = 9009156.

The previous prime is 9009107. The next prime is 9009163. The reversal of 9009157 is 7519009.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5527201 + 3481956 = 2351^2 + 1866^2 .

It is an emirp because it is prime and its reverse (7519009) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 9009157 - 2²³ = 620549 is a prime.

It is a Chen prime.

9009157 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (9009107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4504578 + 4504579.

It is an arithmetic number, because the mean of its divisors is an integer number (4504579).

Almost surely, 2^9009157 is an apocalyptic number.

It is an amenable number.

9009157 is a deficient number, since it is larger than the sum of its proper divisors (1).

9009157 is an equidigital number, since it uses as much as digits as its factorization.

9009157 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2835, while the sum is 31.

The square root of 9009157 is about 3001.5257786666. The cubic root of 9009157 is about 208.0789040509.

The spelling of 9009157 in words is "nine million, nine thousand, one hundred fifty-seven".