812107 has 16 divisors (see below), whose sum is σ = 940032. Its totient is φ = 696960.

The previous prime is 812101. The next prime is 812129. The reversal of 812107 is 701218.

It is a cyclic number.

It is not a de Polignac number, because 812107 - 2¹¹ = 810059 is a prime.

It is an alternating number because its digits alternate between even and odd.

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 15 ways as a sum of consecutive naturals, for example, 12088 + ... + 12154.

It is an arithmetic number, because the mean of its divisors is an integer number (58752).

2⁸¹²¹⁰⁷ is an apocalyptic number.

812107 is a deficient number, since it is larger than the sum of its proper divisors (127925).

812107 is a wasteful number, since it uses less digits than its factorization.

812107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138.

The product of its (nonzero) digits is 112, while the sum is 19.

The square root of 812107 is about 901.1697953216. The cubic root of 812107 is about 93.2977316030.

Subtracting from 812107 its reverse (701218), we obtain a square (110889 = 333²).

It can be divided in two parts, 812 and 107, that added together give a palindrome (919).

The spelling of 812107 in words is "eight hundred twelve thousand, one hundred seven".