9005657 has 2 divisors, whose sum is σ = 9005658. Its totient is φ = 9005656.

The previous prime is 9005621. The next prime is 9005663. The reversal of 9005657 is 7565009.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5148361 + 3857296 = 2269^2 + 1964^2 .

It is a cyclic number.

It is not a de Polignac number, because 9005657 - 2⁸ = 9005401 is a prime.

It is a super-2 number, since 2×9005657² = 162203716003298, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (9005057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4502828 + 4502829.

It is an arithmetic number, because the mean of its divisors is an integer number (4502829).

Almost surely, 2^9005657 is an apocalyptic number.

It is an amenable number.

9005657 is a deficient number, since it is larger than the sum of its proper divisors (1).

9005657 is an equidigital number, since it uses as much as digits as its factorization.

9005657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9450, while the sum is 32.

The square root of 9005657 is about 3000.9426852241. The cubic root of 9005657 is about 208.0519547853.

The spelling of 9005657 in words is "nine million, five thousand, six hundred fifty-seven".