197532 has 48 divisors (see below), whose sum is σ = 537600. Its totient is φ = 62640.

The previous prime is 197521. The next prime is 197539. The reversal of 197532 is 235791.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 197496 and 197505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (197539) by changing a digit.

197532 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 15 ways as a sum of consecutive naturals, for example, 3319 + ... + 3377.

It is an arithmetic number, because the mean of its divisors is an integer number (11200).

2¹⁹⁷⁵³² is an apocalyptic number.

197532 is a gapful number since it is divisible by the number (12) 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 197532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268800).

197532 is an abundant number, since it is smaller than the sum of its proper divisors (340068).

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

197532 is a wasteful number, since it uses less digits than its factorization.

197532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 95 counting only the distinct ones).

The product of its digits is 1890, while the sum is 27.

The square root of 197532 is about 444.4457222204. The cubic root of 197532 is about 58.2388092730.

It can be divided in two parts, 197 and 532, that added together give a 6-th power (729 = 3⁶).

The spelling of 197532 in words is "one hundred ninety-seven thousand, five hundred thirty-two".