812136 has 64 divisors (see below), whose sum is σ = 2318400. Its totient is φ = 235008.

The previous prime is 812129. The next prime is 812137. The reversal of 812136 is 631218.

It is a nude number because it is divisible by every one of its digits.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 812136.

It is not an unprimeable number, because it can be changed into a prime (812137) by changing a digit.

812136 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5860 + ... + 5996.

It is an arithmetic number, because the mean of its divisors is an integer number (36225).

2⁸¹²¹³⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 812136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1159200).

812136 is an abundant number, since it is smaller than the sum of its proper divisors (1506264).

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

812136 is a wasteful number, since it uses less digits than its factorization.

812136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 174 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

The square root of 812136 is about 901.1858853755. The cubic root of 812136 is about 93.2988421307.

The spelling of 812136 in words is "eight hundred twelve thousand, one hundred thirty-six".