812106 has 28 divisors (see below), whose sum is σ = 1829682. Its totient is φ = 270216.

The previous prime is 812101. The next prime is 812129. The reversal of 812106 is 601218.

It can be written as a sum of positive squares in only one way, i.e., 793881 + 18225 = 891^2 + 135^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a Curzon number.

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

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1180 + ... + 1736.

2⁸¹²¹⁰⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 812106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914841).

812106 is an abundant number, since it is smaller than the sum of its proper divisors (1017576).

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

812106 is an equidigital number, since it uses as much as digits as its factorization.

812106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 812106 is about 901.1692404870. The cubic root of 812106 is about 93.2976933084.

It can be divided in two parts, 81 and 2106, that added together give a 7-th power (2187 = 3⁷).

The spelling of 812106 in words is "eight hundred twelve thousand, one hundred six".