83197633600 has 63 divisors (see below), whose sum is σ = 204746570821. Its totient is φ = 33274438400.

The previous prime is 83197633577. The next prime is 83197633609. The reversal of 83197633600 is 633679138.

The square root of 83197633600 is 288440.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 29951148096 + 53246485504 = 173064^2 + 230752^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (83197633609) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11533995 + ... + 11541205.

Almost surely, 2^83197633600 is an apocalyptic number.

83197633600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

83197633600 is the 288440-th square number.

It is an amenable number.

83197633600 is an abundant number, since it is smaller than the sum of its proper divisors (121548937221).

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

83197633600 is an frugal number, since it uses more digits than its factorization.

83197633600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14444 (or 7218 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 46.

The spelling of 83197633600 in words is "eighty-three billion, one hundred ninety-seven million, six hundred thirty-three thousand, six hundred".