197856512 has 54 divisors (see below), whose sum is σ = 459449298. Its totient is φ = 84790272.

The previous prime is 197856493. The next prime is 197856517. The reversal of 197856512 is 215658791.

It can be written as a sum of positive squares in only one way, i.e., 174662656 + 23193856 = 13216^2 + 4816^2 .

It is a super-2 number, since 2×197856512² = 78294398681612288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (197856517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4658 + ... + 20430.

Almost surely, 2^197856512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 197856512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229724649).

197856512 is an abundant number, since it is smaller than the sum of its proper divisors (261592786).

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

197856512 is an equidigital number, since it uses as much as digits as its factorization.

197856512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15803 (or 15782 counting only the distinct ones).

The product of its digits is 151200, while the sum is 44.

The square root of 197856512 is about 14066.1477313442. The cubic root of 197856512 is about 582.7068402837.

The spelling of 197856512 in words is "one hundred ninety-seven million, eight hundred fifty-six thousand, five hundred twelve".