197968 has 10 divisors (see below), whose sum is σ = 383594. Its totient is φ = 98976.

The previous prime is 197963. The next prime is 197969. The reversal of 197968 is 869791.

It can be written as a sum of positive squares in only one way, i.e., 169744 + 28224 = 412^2 + 168^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 197968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (197963) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6171 + ... + 6202.

2¹⁹⁷⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

197968 is a deficient number, since it is larger than the sum of its proper divisors (185626).

197968 is a wasteful number, since it uses less digits than its factorization.

197968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12381 (or 12375 counting only the distinct ones).

The product of its digits is 27216, while the sum is 40.

The square root of 197968 is about 444.9359504468. The cubic root of 197968 is about 58.2816267432.

It can be divided in two parts, 1 and 97968, that added together give a square (97969 = 313²).

The spelling of 197968 in words is "one hundred ninety-seven thousand, nine hundred sixty-eight".