197152 has 24 divisors (see below), whose sum is σ = 398412. Its totient is φ = 96000.

The previous prime is 197147. The next prime is 197159. The reversal of 197152 is 251791.

It can be written as a sum of positive squares in 2 ways, for example, as 197136 + 16 = 444^2 + 4^2 .

It is a super-2 number, since 2×197152² = 77737822208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (197159) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1902 + ... + 2002.

2¹⁹⁷¹⁵² 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 197152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199206).

197152 is an abundant number, since it is smaller than the sum of its proper divisors (201260).

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

197152 is a wasteful number, since it uses less digits than its factorization.

197152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 164 counting only the distinct ones).

The product of its digits is 630, while the sum is 25.

The square root of 197152 is about 444.0180176524. The cubic root of 197152 is about 58.2014398781.

The spelling of 197152 in words is "one hundred ninety-seven thousand, one hundred fifty-two".