197782032 has 160 divisors (see below), whose sum is σ = 612460800. Its totient is φ = 54942720.

The previous prime is 197782031. The next prime is 197782051. The reversal of 197782032 is 230287791.

It is not an unprimeable number, because it can be changed into a prime (197782031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 674878 + ... + 675170.

It is an arithmetic number, because the mean of its divisors is an integer number (3827880).

Almost surely, 2^197782032 is an apocalyptic number.

197782032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is a pronic number, being equal to 14063×14064.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 197782032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306230400).

197782032 is an abundant number, since it is smaller than the sum of its proper divisors (414678768).

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

197782032 is a wasteful number, since it uses less digits than its factorization.

197782032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 197782032 is about 14063.4999911117. The cubic root of 197782032 is about 582.6337141380.

The spelling of 197782032 in words is "one hundred ninety-seven million, seven hundred eighty-two thousand, thirty-two".