197136 has 45 divisors (see below), whose sum is σ = 567021. Its totient is φ = 63936.

The previous prime is 197123. The next prime is 197137. The reversal of 197136 is 631791.

197136 = T₄₄₃ + T₄₄₄.

The square root of 197136 is 444.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 176400 + 20736 = 420^2 + 144^2 .

It is an Ulam number.

Its product of digits (1134) is a multiple of the sum of its prime divisors (42).

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (197137) by changing a digit.

197136 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5310 + ... + 5346.

2¹⁹⁷¹³⁶ is an apocalyptic number.

197136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

197136 is the 444-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 197136

197136 is an abundant number, since it is smaller than the sum of its proper divisors (369885).

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

197136 is a wasteful number, since it uses less digits than its factorization.

197136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 42 counting only the distinct ones).

The product of its digits is 1134, while the sum is 27.

The cubic root of 197136 is about 58.1998653768.

It can be divided in two parts, 197 and 136, that added together give a palindrome (333).

The spelling of 197136 in words is "one hundred ninety-seven thousand, one hundred thirty-six".