197957 has 2 divisors, whose sum is σ = 197958. Its totient is φ = 197956.

The previous prime is 197947. The next prime is 197959. The reversal of 197957 is 759791.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 139876 + 58081 = 374^2 + 241^2 .

It is a cyclic number.

It is not a de Polignac number, because 197957 - 2⁶ = 197893 is a prime.

Together with 197959, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 197957.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 197957.

It is not a weakly prime, because it can be changed into another prime (197959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 98978 + 98979.

It is an arithmetic number, because the mean of its divisors is an integer number (98979).

2¹⁹⁷⁹⁵⁷ is an apocalyptic number.

It is an amenable number.

197957 is a deficient number, since it is larger than the sum of its proper divisors (1).

197957 is an equidigital number, since it uses as much as digits as its factorization.

197957 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 19845, while the sum is 38.

The square root of 197957 is about 444.9235889453. The cubic root of 197957 is about 58.2805472594.

The spelling of 197957 in words is "one hundred ninety-seven thousand, nine hundred fifty-seven".