197961 has 16 divisors (see below), whose sum is σ = 291840. Its totient is φ = 118800.

The previous prime is 197959. The next prime is 197963. The reversal of 197961 is 169791.

It is an interprime number because it is at equal distance from previous prime (197959) and next prime (197963).

It is not a de Polignac number, because 197961 - 2¹ = 197959 is a prime.

It is not an unprimeable number, because it can be changed into a prime (197963) 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 in 15 ways as a sum of consecutive naturals, for example, 1236 + ... + 1386.

It is an arithmetic number, because the mean of its divisors is an integer number (18240).

2¹⁹⁷⁹⁶¹ is an apocalyptic number.

It is an amenable number.

197961 is a deficient number, since it is larger than the sum of its proper divisors (93879).

197961 is a wasteful number, since it uses less digits than its factorization.

197961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196.

The product of its digits is 3402, while the sum is 33.

The square root of 197961 is about 444.9280840765. The cubic root of 197961 is about 58.2809398036.

The spelling of 197961 in words is "one hundred ninety-seven thousand, nine hundred sixty-one".