197536512 has 144 divisors (see below), whose sum is σ = 561593088. Its totient is φ = 61501440.

The previous prime is 197536511. The next prime is 197536513. The reversal of 197536512 is 215635791.

It is an interprime number because it is at equal distance from previous prime (197536511) and next prime (197536513).

It is a super-2 number, since 2×197536512² = 78041347146252288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (197536511) 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 15 ways as a sum of consecutive naturals, for example, 936087 + ... + 936297.

It is an arithmetic number, because the mean of its divisors is an integer number (3899952).

Almost surely, 2^197536512 is an apocalyptic number.

197536512 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 197536512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280796544).

197536512 is an abundant number, since it is smaller than the sum of its proper divisors (364056576).

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

197536512 is a wasteful number, since it uses less digits than its factorization.

197536512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 292 counting only the distinct ones).

The product of its digits is 56700, while the sum is 39.

The square root of 197536512 is about 14054.7683011852. The cubic root of 197536512 is about 582.3925269741.

The spelling of 197536512 in words is "one hundred ninety-seven million, five hundred thirty-six thousand, five hundred twelve".