82181200 has 30 divisors (see below), whose sum is σ = 197441294. Its totient is φ = 32872320.

The previous prime is 82181189. The next prime is 82181207. The reversal of 82181200 is 218128.

It can be written as a sum of positive squares in 3 ways, for example, as 1468944 + 80712256 = 1212^2 + 8984^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82181207) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 102327 + ... + 103126.

Almost surely, 2^82181200 is an apocalyptic number.

82181200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82181200 is an abundant number, since it is smaller than the sum of its proper divisors (115260094).

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

82181200 is a wasteful number, since it uses less digits than its factorization.

82181200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205471 (or 205460 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

The square root of 82181200 is about 9065.3847132926. The cubic root of 82181200 is about 434.7679213010.

Adding to 82181200 its reverse (218128), we get a palindrome (82399328).

The spelling of 82181200 in words is "eighty-two million, one hundred eighty-one thousand, two hundred".