997001 has 2 divisors, whose sum is σ = 997002. Its totient is φ = 997000.

The previous prime is 996979. The next prime is 997013. The reversal of 997001 is 100799.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 855625 + 141376 = 925^2 + 376^2 .

It is an emirp because it is prime and its reverse (100799) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-997001 is a prime.

It is not a weakly prime, because it can be changed into another prime (997021) by changing a digit.

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

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 498500 + 498501.

It is an arithmetic number, because the mean of its divisors is an integer number (498501).

2⁹⁹⁷⁰⁰¹ is an apocalyptic number.

It is an amenable number.

997001 is a deficient number, since it is larger than the sum of its proper divisors (1).

997001 is an equidigital number, since it uses as much as digits as its factorization.

997001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 567, while the sum is 26.

The square root of 997001 is about 998.4993740609. The cubic root of 997001 is about 99.8999332332.

The spelling of 997001 in words is "nine hundred ninety-seven thousand, one".