813000 has 64 divisors (see below), whose sum is σ = 2545920. Its totient is φ = 216000.

The previous prime is 812969. The next prime is 813013. The reversal of 813000 is 318.

813000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

813000 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, 2865 + ... + 3135.

It is an arithmetic number, because the mean of its divisors is an integer number (39780).

2⁸¹³⁰⁰⁰ 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 813000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1272960).

813000 is an abundant number, since it is smaller than the sum of its proper divisors (1732920).

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

813000 is a wasteful number, since it uses less digits than its factorization.

813000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 813000 is about 901.6651263080. The cubic root of 813000 is about 93.3319160783.

Adding to 813000 its reverse (318), we get a palindrome (813318).

It can be divided in two parts, 81 and 3000, that added together give a triangular number (3081 = T₇₈).

The spelling of 813000 in words is "eight hundred thirteen thousand".