197730 has 48 divisors (see below), whose sum is σ = 556920. Its totient is φ = 48672.

The previous prime is 197713. The next prime is 197741. The reversal of 197730 is 37791.

It can be written as a sum of positive squares in 4 ways, for example, as 3249 + 194481 = 57^2 + 441^2 .

It is a junction number, because it is equal to n+sod(n) for n = 197694 and 197703.

It is an unprimeable number.

197730 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 23 ways as a sum of consecutive naturals, for example, 15204 + ... + 15216.

197730 is a Friedman number, since it can be written as 90*(7+7-1)^3, using all its digits and the basic arithmetic operations.

2¹⁹⁷⁷³⁰ is an apocalyptic number.

197730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 197730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278460).

197730 is an abundant number, since it is smaller than the sum of its proper divisors (359190).

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

197730 is a wasteful number, since it uses less digits than its factorization.

197730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 1323, while the sum is 27.

The square root of 197730 is about 444.6684157887. The cubic root of 197730 is about 58.2582617052.

The spelling of 197730 in words is "one hundred ninety-seven thousand, seven hundred thirty".