997121 has 2 divisors, whose sum is σ = 997122. Its totient is φ = 997120.

The previous prime is 997111. The next prime is 997123. The reversal of 997121 is 121799.

997121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 970225 + 26896 = 985^2 + 164^2 .

It is a cyclic number.

It is not a de Polignac number, because 997121 - 2⁶ = 997057 is a prime.

Together with 997123, it forms a pair of twin primes.

It is a Chen prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 997121.

It is not a weakly prime, because it can be changed into another prime (997123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 498560 + 498561.

It is an arithmetic number, because the mean of its divisors is an integer number (498561).

2⁹⁹⁷¹²¹ is an apocalyptic number.

It is an amenable number.

997121 is a deficient number, since it is larger than the sum of its proper divisors (1).

997121 is an equidigital number, since it uses as much as digits as its factorization.

997121 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1134, while the sum is 29.

The square root of 997121 is about 998.5594624257. The cubic root of 997121 is about 99.9039410897.

The spelling of 997121 in words is "nine hundred ninety-seven thousand, one hundred twenty-one".