197973216 has 144 divisors (see below), whose sum is σ = 647547264. Its totient is φ = 56201472.

The previous prime is 197973203. The next prime is 197973221. The reversal of 197973216 is 612379791.

197973216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 570355 + ... + 570701.

It is an arithmetic number, because the mean of its divisors is an integer number (4496856).

Almost surely, 2^197973216 is an apocalyptic number.

197973216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 197973216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323773632).

197973216 is an abundant number, since it is smaller than the sum of its proper divisors (449574048).

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

197973216 is a wasteful number, since it uses less digits than its factorization.

197973216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653 (or 642 counting only the distinct ones).

The product of its digits is 142884, while the sum is 45.

The square root of 197973216 is about 14070.2955192846. The cubic root of 197973216 is about 582.8213860088.

The spelling of 197973216 in words is "one hundred ninety-seven million, nine hundred seventy-three thousand, two hundred sixteen".