197540 has 48 divisors (see below), whose sum is σ = 508032. Its totient is φ = 62976.

The previous prime is 197539. The next prime is 197551. The reversal of 197540 is 45791.

197540 = 32³ + 33³ + ... + 36³.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2339 + ... + 2421.

It is an arithmetic number, because the mean of its divisors is an integer number (10584).

2¹⁹⁷⁵⁴⁰ is an apocalyptic number.

197540 is a gapful number since it is divisible by the number (10) 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 197540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254016).

197540 is an abundant number, since it is smaller than the sum of its proper divisors (310492).

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

197540 is a wasteful number, since it uses less digits than its factorization.

197540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 26.

The square root of 197540 is about 444.4547221034. The cubic root of 197540 is about 58.2395954818.

It can be divided in two parts, 197 and 540, that added together give a palindrome (737).

The spelling of 197540 in words is "one hundred ninety-seven thousand, five hundred forty".