197964 has 60 divisors (see below), whose sum is σ = 569184. Its totient is φ = 59616.

The previous prime is 197963. The next prime is 197969. The reversal of 197964 is 469791.

It is a super-3 number, since 3×197964³ = 23274476213332032, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 19 ways as a sum of consecutive naturals, for example, 4189 + ... + 4235.

2¹⁹⁷⁹⁶⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 197964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284592).

197964 is an abundant number, since it is smaller than the sum of its proper divisors (371220).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

197964 is a wasteful number, since it uses less digits than its factorization.

197964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 65 counting only the distinct ones).

The product of its digits is 13608, while the sum is 36.

The square root of 197964 is about 444.9314553951. The cubic root of 197964 is about 58.2812342083.

The spelling of 197964 in words is "one hundred ninety-seven thousand, nine hundred sixty-four".