813147000 has 256 divisors, whose sum is σ = 2659737600. Its totient is φ = 206668800.

The previous prime is 813146989. The next prime is 813147001. The reversal of 813147000 is 741318.

It is a super-2 number, since 2×813147000² = 1322416087218000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (813147001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10292961 + ... + 10293039.

It is an arithmetic number, because the mean of its divisors is an integer number (10389600).

Almost surely, 2^813147000 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 813147000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1329868800).

813147000 is an abundant number, since it is smaller than the sum of its proper divisors (1846590600).

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

813147000 is a wasteful number, since it uses less digits than its factorization.

813147000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 813147000 is about 28515.7324997974. The cubic root of 813147000 is about 933.3754091009.

Adding to 813147000 its reverse (741318), we get a palindrome (813888318).

The spelling of 813147000 in words is "eight hundred thirteen million, one hundred forty-seven thousand".