812100 has 36 divisors (see below), whose sum is σ = 2350544. Its totient is φ = 216480.

The previous prime is 812081. The next prime is 812101. The reversal of 812100 is 1218.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (812101) by changing a digit.

812100 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1054 + ... + 1653.

2⁸¹²¹⁰⁰ is an apocalyptic number.

It is an amenable number.

812100 is an abundant number, since it is smaller than the sum of its proper divisors (1538444).

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

812100 is a wasteful number, since it uses less digits than its factorization.

812100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2724 (or 2717 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 812100 is about 901.1659114725. The cubic root of 812100 is about 93.2974635406.

Adding to 812100 its reverse (1218), we get a palindrome (813318).

The spelling of 812100 in words is "eight hundred twelve thousand, one hundred".