9007 has 2 divisors, whose sum is σ = 9008. Its totient is φ = 9006.

The previous prime is 9001. The next prime is 9011. The reversal of 9007 is 7009.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 9007 - 2³ = 8999 is a prime.

It is a super-2 number, since 2×9007² = 162252098, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (9001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4503 + 4504.

It is an arithmetic number, because the mean of its divisors is an integer number (4504).

2⁹⁰⁰⁷ is an apocalyptic number.

9007 is a deficient number, since it is larger than the sum of its proper divisors (1).

9007 is an equidigital number, since it uses as much as digits as its factorization.

9007 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 63, while the sum is 16.

The square root of 9007 is about 94.9052158735. The cubic root of 9007 is about 20.8062296429.

The spelling of 9007 in words is "nine thousand, seven".